Introduction to the Graphing Calculator for the TI84


 Lambert Lewis
 2 years ago
 Views:
Transcription
1 Algebra 090 ~ Lecture Introduction to the Graphing Calculator for the TI84 Copyright 1996 Sally J. Glover All Rights Reserved Grab your calculator and follow along. Note: BOLD FACE are used for calculator steps. BOLD UNDERLINED are actually keys and NOTUNDERLINED BOLD are soft keys (keys that showup on the screen in menus). Problem 1: Graph y = 5x 2 using window x[5,5], y[5,5]. Find the exact yaxis intercept point. Trace to find the approximate xaxis intercept point with coordinates accurate to the nearest tenth. Hit: Y= At this point your calculator should ask you for the equation by showing y1= on the screen. If it already has an equation there, highlight it (using your up/down arrows if necessary) and hit CLEAR. Type in the equation: 5 x 2 ENTER (for x use the X,T,q,n key) Hit WINDOW. This area is your viewing window setup. We want xmin=5, xmax=5, xscl=1, ymin=5, ymax=5, yscl=1, and xres=1. (Scl sets the scale, i.e., we are making each tick mark on each axes 1 and res is resolution which can always be left at 1.) Now hit GRAPH. You should get a straight line passing through quadrants III, IV, and I that looks like this:
2 Now we are going to locate the exact yintercept point. Hit TRACE. The blinking cursor should have automatically gone to the yintercept point. Note that the coordinates are given at the bottom of the screen. The exact yintercept point is (0, ). (Note: if the cursor did not automatically jump to the yintercept point, type 0 ENTER while in TRACE.) Answer: The exact yintercept point it (0,2). Now we are going to locate the approximate xintercept point. While still in TRACE use your left and right arrows (not up and down arrows) to move the blinking cursor to as close to the point where the line crosses the xaxis as possible. To the nearest hundredth the x intercept point is approximately (,0). (Note: we will learn a more accurate way to find the xintercept point in a moment.) Answer: The xintercept point is approximately (0.4,0). ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Problem 2: Graph y = 4 5x 2 using window x[5,5], y[5,5]. Trace to find the approximate local minimum point with coordinates accurate to the nearest hundredth. Find the exact yaxis intercept point. Find the exact point on the graph where x=1.6. Find the exact xaxis intercept points using ROOT. Hit Y= then CLEAR the old equation then type in the new one. The absolute value function abs is in your math number menu so hit MATH right arrow to NUM to get abs( 4 5 x ) 2 then GRAPH to graph the equation. You should get a Vshaped graph that looks like this:
3 Now we are going to locate the approximate local minimum point. Hit TRACE. Use your left and right arrows to move the blinking cursor to as close to the local minimum point (the bottom of the Vshape) as possible. With coordinates to the nearest hundredth the local minimum point is (, ). Answer: The local minimum point is approximately (0.79,1.97). (Answers close to this are acceptable.) Now we are going to locate the exact yintercept point. While still in trace, type 0 ENTER. This will force the cursor to move to the point where x=0 (which of course is the yintercept point). The exact yintercept point is (0, ). Answer: The exact yintercept point is (0,2). Now we are going to locate the exact point on the graph where x=1.6. While still in trace, type 1.6 ENTER. This will force the cursor to move to the point where x=1.6. Read the corresponding ycoordinate off the bottom of your screen. The exact point is (1.6, ). (Note that you can verify this algebraically by substituting 1.6 into the original equation for x and solving for y. Try it, do you get the same result?) Answer: The exact point is (1.6,2). Now we are going to locate the exact xintercept points using ZERO. This graph has two xintercept points. Let s find the leftmost one first. Hit 2ND CALC, scroll down to ZERO then ENTER. The calculator will ask, Left Bound?. Use the left/right arrows to move the cursor along the curve until it is a little to the left of the leftmost x intercept point and hit ENTER. The calculator will ask, Right Bound?. Use the left/right arrows to move the cursor along the curve until it is a little to the right of the leftmost xintercept point and hit ENTER. The calculator will ask, Guess?. Use the left/right arrows to move the cursor along the curve until it is close to the leftmost x intercept point and hit ENTER. The calculator should now find the x intercept point (the zero of the equation) and display its coordinates. The exact leftmost xintercept point is (,0).
4 Answer: The exact leftmost xintercept point is (0.4,0). Let s find the rightmost xintercept point. Hit 2ND CALC ZERO ENTER. The calculator will ask, Left Bound?. Use the left/right arrows to move the cursor along the curve until it is a little to the left of the rightmost xintercept point and hit ENTER. The calculator will ask, Right Bound?. Use the left/right arrows to move the cursor along the curve until it is a little to the right of the rightmost xintercept point and hit ENTER. The calculator will ask, Guess?. Use the left/right arrows to move the cursor along the curve until it is close to the leftmost xintercept point and hit ENTER. The calculator should now find the xintercept point and display its coordinates. The exact rightmost xintercept point is (,0). Answer: The exact rightmost xintercept point is (1.2,0). Using ZERO to find exact xintercept points is VERY IMPORTANT! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 3 2 Problem 3: Graph y = 2x + 3x 9x 10. Trace to find the approximate local minimum point with coordinates accurate to the nearest hundredth. Produce the graph on your own now. The problem is that you can t see the whole graph, right? So we need to change the viewing window. We need to see lower on the graph so we can see the local minimum point. So we need to change the ymin value of our window settings. Hit WINDOW and change the viewing window so that ymin=20. Regraph to see the whole picture! It should look like this:
5 Now trace to find the local minimum point (the bottom of the valley that is in quadrant IV). With coordinates to the nearest hundredth the local minimum point is (, ). Answer: The local minimum point is approximately (0.82,14.26). (Answers close to this are acceptable.) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Problem 4: Change your viewing window back to y[5,5] and then graph How many xintercepts does it have? y = 200x 50x + 3x Wow, it is hard to tell how many xintercept points this graph has. We will have to zoom in to see. There are several options in the zoom menu, but the one that gives you the most control is zoom box. Hit ZOOM then ZBox ENTER. Use your arrows (all four of them if necessary) to move the cursor into quadrant II. You want to establish the northwest corner of your box which will surround the origin area into which we would like to zoom. When you are satisfied with the placement of this corner, hit ENTER. The cursor will change shape to a little flashing square. Next, use your arrow to move the cursor into quadrant IV. See how the little box forms surrounding the origin area of the graph?
6 When you are satisfied with the placement of this southeast corner of your box, hit ENTER. The curve will regraph automatically zoomed into that boxed region. Can you see how many xintercepts the graph has now? No not yet? You may need to zoom box several times to be sure! Go for it!! Eventually you will be able to answer the question: This graph has (how many?) xintercept points. Your graph should look something like this: Answer: This graph has three xintercept points. BTW, after zooming and/or altering your window it is strongly advised that you reset your window to the standard settings. The easiest way to do this is to hit ZStandard. Now try these examples again on your own referring to this sheet as necessary. Then try graphing some equations from your text. Have fun!
SOLVING EQUATIONS (Finding the input, given an output value)
Intro to the TI calculator TI83 SOLVING EQUATIONS (Finding the input, given an output value) Q: According to the Toys R Us 1995 annual report, the number of stores between the years 1984 and 1994 can
More informationSOLVING EQUATIONS (Finding the input, given an output value)
Intro to the TI calculator TI82 SOLVING EQUATIONS (Finding the input, given an output value) Q: According to the Toys R Us 1995 annual report, the number of stores between the years 1984 and 1994 can
More informationAcademic Support Center. Using the TI83/84+ Graphing Calculator PART II
Academic Support Center Using the TI83/84+ Graphing Calculator PART II Designed and Prepared by The Academic Support Center Revised June 2012 1 Using the Graphing Calculator (TI83+ or TI84+) Table of
More informationThis workshop will. Xintercepts and Zoom Box
This workshop will Arapahoe Community College MAT 111  Graphing Calculator Techniques for Survey of Algebra TI83 Graphing Calculator Workshop #8 Solving Equations  Graphical Approach 1) demonstrate
More informationSOLVING EQUATIONS (Finding the input, given an output value)
Intro to the TI calculator TI86 SOLVING EQUATIONS (Finding the input, given an output value) Q: According to the Toys R Us 1995 annual report, the number of stores between the years 1984 and 1994 can
More informationx button, the number 13, close
Calculator Skills: Know the difference between the negative button (by the decimal point) and the subtraction button (above the plus sign). Know that your calculator automatically does order of operations,
More informationGRAPHING ON THE TI CALCULATORS. 1. Enter your equation. Equation must be solved for y: y = 3x  4, y = x 2 +7x 1, etc.
GRAPHING ON THE TI CALCULATORS 1. Enter your equation. Equation must be solved for y: y = 3x  4, y = x 2 +7x 1, etc. TI83: Use y= button under screen, at left. When entering equation, use the X,T,θ
More informationPreCalculus Graphing Calculator Handbook
PreCalculus Graphing Calculator Handbook I. Graphing Functions A. Button for Functions This button is used to enter any function to be graphed. You can enter up to 10 different functions at a time. Use
More informationGraphing Calculator. The Viewing Rectangle. Xscl. Xmin
s or graphing software packages for computers are referred to as graphing utilities or graphers. Below you will find the viewing rectangle. 1 The meaning of the terms is demonstrated at right. This is
More informationBasic Graphing Functions for the TI83 and TI84
Basic Graphing Functions for the TI83 and TI84 The primary benefits of the TI83 and TI84 are the abilities to graph functions and to identify properties those functions possess. The purpose of this
More informationUSING YOUR TI83/84 GRAPHING CALCULATOR. Part II: Graphing Basics
USING YOUR TI83/84 GRAPHING CALCULATOR Part II: Graphing Basics 2 The y= editor To enter a function into the calculator to be graphed, you must be in Function mode. Hit o There are ten storage locations
More informationIntroductory Handbook for the TI89 Titanium
Introductory Handbook for the TI89 Titanium Note: This handbook will, for the most part, work for the standard TI89 as well. The colorcoding used on the TI89 differs from the colorcoding used on the
More informationGraphing with your TI
Graphing with your TI Paul Staten, Weber State University The TI Calculator can: 1. Save time.. Increase understanding. 3. Be fun! This packet will try to reach each of those goals while teaching how to
More informationIntroduction to the Graphing Calculator
Unit 0 Introduction to the Graphing Calculator Intermediate Algebra Update 2/06/06 Unit 0 Activity 1: Introduction to Computation on a Graphing Calculator Why: As technology becomes integrated into all
More informationI. Turn it on: Press É
Graphing Calculator Guide for the TI83/84 Plus The following pages describe how to use the calculator to graph functions, use some of the matrix menu, use scientific notation, and other various keys.
More informationMath Tools Cell Phone Plans
NATIONAL PARTNERSHIP FOR QUALITY AFTERSCHOOL LEARNING www.sedl.org/afterschool/toolkits Math Tools Cell Phone Plans..............................................................................................
More informationCourse: Grade 10 Applied Mathematics (MFM2P) Quadratic Relations of the Form y=ax 2 + bx + c
Course: Grade 10 Applied Mathematics (MFMP) Unit 6: Quadratic Relations of the Form y=ax + bx + c Unit 6 Quadratic Relations of the Form y=ax + bx + c Section Activity Page 6.1. Graphing Quadratic Relations
More informationGetting to know your TI83
Calculator Activity Intro Getting to know your TI83 Press ON to begin using calculator.to stop, press 2 nd ON. To darken the screen, press 2 nd alternately. To lighten the screen, press nd 2 alternately.
More informationQUADRATIC EQUATIONS Use with Section 1.4
QUADRATIC EQUATIONS Use with Section 1.4 OBJECTIVES: Solve Quadratic Equations by Factoring Solve Quadratic Equations Using the Zero Product Property Solve Quadratic Equations Using the Quadratic Formula
More informationActivity 6 Graphing Linear Equations
Activity 6 Graphing Linear Equations TEACHER NOTES Topic Area: Algebra NCTM Standard: Represent and analyze mathematical situations and structures using algebraic symbols Objective: The student will be
More informationAlways verify your conjectures about functions with the definitions that f(x) = f(x) for even functions and f(x)= f(x) for odd functions.
1.6 PROPERTIES OF FUNCTIONS Even and Odd Functions A function that is symmetric with the yaxis is called even. In other words, a function f is even if for every number x in its domain the number x is
More informationPPS TI83 Activities Algebra 12 Teacher Notes
PPS TI83 Activities Algebra 12 Teacher Notes It is an expectation in Portland Public Schools that all teachers are using the TI83 graphing calculator in meaningful ways in Algebra 12. This does not
More informationTexas Instruments TI83, TI83 Plus, TI84 Plus Graphing Calculator
Part II: Texas Instruments TI83, TI83 Plus, TI84 Plus Graphing Calculator II.1 Getting started with the TI83, TI83 Plus, TI84 Plus Note: All keystroke sequences given for the TI83 are applicable
More informationGuide for Texas Instruments TI83, TI83 Plus, or TI84 Plus Graphing Calculator
Guide for Texas Instruments TI83, TI83 Plus, or TI84 Plus Graphing Calculator This Guide is designed to offer stepbystep instruction for using your TI83, TI83 Plus, or TI84 Plus graphing calculator
More informationAPPENDIX B Calculus and the TI83/TI83 Plus/TI84 Plus Calculators
A6 Appendices APPENDIX B Calculus and the TI83/TI83 Plus/TI84 Plus Calculators Functions A. Define a function Press y= to obtain the Y= editor. Cursor down to the function to be defined. (Press clear
More informationTI83Plus Calculator Basics Tips and Techniques
TI83Plus Calculator Basics Tips and Techniques TI83 Plus Keyboard Generally, the keyboard is divided into these zones: graphing keys, editing keys, advanced function keys, and scientific calculator
More informationNow I Own a Graphing Calculator, How do I use it? Using the TI 83 and 84 Graphing Calculators. Table of Contents
Table of Contents What do the keys do?.. 3 Basic Calculator Use 6 Scientific Notation 9 Evaluations of Fracions 11 Now I Own a Graphing Calculator, How do I use it? Using the TI 83 and 84 Graphing Calculators
More informationCalculator Notes for the TI83 Plus and TI84 Plus
CHAPTER 3 Calculator Notes for the Note 3A Entering and Graphing Equations Equations are entered into the Y screen for various purposes, including graphing. You can enter up to ten equations, Y1 to Y0.
More informationTI83/84 Plus Graphing Calculator Worksheet #2
TI83/8 Plus Graphing Calculator Worksheet #2 The graphing calculator is set in the following, MODE, and Y, settings. Resetting your calculator brings it back to these original settings. MODE Y Note that
More informationBARUCH COLLEGE USING THE TI89 IN PRECALCULUS AND CALCULUS
BARUCH COLLEGE USING THE TI89 IN PRECALCULUS AND CALCULUS by JOSEPH COLLISON Copyright 2003, 2004 by Joseph Collison All rights reserved Reproduction or translation of any part of this work beyond that
More information3.1 Getting started with the TI83, TI83 Plus
CHAPTER 3 TEXAS INSTRUMENTS TI83, TI83 Plus 3.1 Getting started with the TI83, TI83 Plus Note: All keystroke sequences given for the TI83 are applicable to the TI83 Plus, unless otherwise noted.
More informationPart V: Texas Instruments TI92, TI92 Plus, Voyage 200
Part V: Texas Instruments TI92, TI92 Plus, Voyage 200 V.1 Getting started with the TI92, TI92 Plus, Voyage 200 Note: All keystroke sequences given for the Voyage 200 are applicable to the TI92 and
More informationTexas Instruments TI83, TI83 Plus Graphics Calculator I.1 Systems of Linear Equations
Part I: Texas Instruments TI83, TI83 Plus Graphics Calculator I.1 Systems of Linear Equations I.1.1 Basics: Press the ON key to begin using your TI83 calculator. If you need to adjust the display contrast,
More informationGuide for Texas Instruments TI86 Graphing Calculator
Part B Guide for Texas Instruments TI86 Graphing Calculator This Guide is designed to offer stepbystep instruction for using your TI86 graphing calculator with the third edition of Calculus Concepts:
More informationUnit 7 Quadratic Relations of the Form y = ax 2 + bx + c
Unit 7 Quadratic Relations of the Form y = ax 2 + bx + c Lesson Outline BIG PICTURE Students will: manipulate algebraic expressions, as needed to understand quadratic relations; identify characteristics
More informationTexas Instruments TI89. Getting started with the TI89
Part IV: Texas Instruments TI89 IV.1 Getting started with the TI89 In this guide, the key with the green diamond symbol inside a green border will be indicated by, the key with the white arrow pointing
More informationCreating a Box and Whisker Plot TI73
TI73 1. Press É. 2. Press 3. If data is in the columns, you will need to clear the data by moving the cursor to the top with the arrow keys until L 1 is highlighted, press then e. Repeat to clear all
More informationSlope & yintercept Discovery Activity
TI83 Graphing Calculator Activity Slope & yintercept Discovery Activity Justin Vallone 11/2/05 In this activity, you will use your TI83 graphing calculator to graph equations of lines. Follow the steps
More informationUser guide for the Casio Classpad Portland Community College
User guide for the Casio Classpad Portland Community College Tammy Louie tammy.louie@pcc.edu Summer 2011 1 Contents 1 The layout of your Casio Classpad 3 1.1 Application Keys.................................
More informationTI83 Graphing Calculator Manual to Accompany. Precalculus Graphing and Data Analysis
TI83 Graphing Calculator Manual to Accompany Precalculus Graphing and Data Analysis How to Use This Manual This manual is meant to provide users of the text with the keystrokes necessary to obtain the
More informationTI82 / TI83 Summary of Commands
TI82 / TI83 Summary of Commands Getting Started Turn on the calculator 1: Press the [On] button, located at the bottom right corner of the calculator 2: If necessary you can adjust the contrast:  to
More informationAPPENDIX C Calculus and the TI85 Calculator
A12 APPENDIX C Calculus and the TI85 Calculator Functions A. Define a function, say y1, from the Home screen Press 2nd [quit] to invoke the Home screen. Press 2nd [alpha] [Y] 1 alpha [=] followed by an
More informationUsing the TI83+/84+ Graphing Calculator in Math 111 at Tacoma Community College Version 1.0. Scott MacDonald
Using the TI83+/84+ Graphing Calculator in Math 111 at Tacoma Community College Version 1.0 Scott MacDonald Copyright c 2005 by Scott MacDonald Permission is given to reproduce this document in whole
More information1.3. Maximum or Minimum of a Quadratic Function. Investigate A
< P16 photo of a large arched bridge, similar to the one on page 292 or p 360361of the fish book> Maximum or Minimum of a Quadratic Function 1.3 Some bridge arches are defined by quadratic functions.
More informationHow Does My TI84 Do That
How Does My TI84 Do That A guide to using the TI84 for statistics Austin Peay State University Clarksville, Tennessee How Does My TI84 Do That A guide to using the TI84 for statistics Table of Contents
More informationThe domain is all real numbers. The range is all real numbers greater than or equal to the minimum value, or {y y 8}.
Use a table of values to graph each equation. State the domain and range. 1. y = 2x 2 + 4x 6 x y = 2x 2 + 4x 6 (x, y) 3 y = 2( 3) 2 + 4( 3) 6 = 0 ( 3,0) 2 y = 2( 2) 2 + 4( 2) 6 = ( 2, 6) 6 1 y = 2( 1)
More informationSPECIAL FEATURES OF THE TI83 PLUS CALCULATOR
SPECIAL FEATURES OF THE TI83 PLUS CALCULATOR The TI83 Plus uses Flash technology: This will let you update to future software versions from the Internet, without buying a new calculator. 184k bytes of
More informationCalculator Notes for the TINspire and TINspire CAS
CHAPTER 3 Calculator Notes for the Note 3A: Entering and Graphing Equations You will usually graph equations in the Graphs & Geometry application. See Note 1F for information about graphing in the Data
More informationAPPENDIX D Calculus and the TI86 Calculator
APPENDIX D Calculus and the TI86 Calculator Appendix D Calculus and the TI86 Calculator A17 Functions A. Define a function, say y1, from the Home screen Press 2nd [quit] to invoke the home screen. Press
More informationCalculator Notes for the TI89, TI92 Plus, and Voyage 200
CHAPTER 1 Note 1A Reentry Calculator Notes for the TI89, TI92 Plus, and Voyage 200 If you want to do further calculation on a result you ve just found, and that result is the first number in the expression
More information6.2 Solving Nonlinear Equations
6.2. SOLVING NONLINEAR EQUATIONS 399 6.2 Solving Nonlinear Equations We begin by introducing a property that will be used extensively in this and future sections. The zero product property. If the product
More informationCheat Sheet for the TI83 (with some hints for TI82 users)
To Do This Entering data into lists Supply plot information Plot the data Adjust Window for a data plot Entering a function s equation Activate or deactivate an equation Evaluate a function using various
More informationHow Do You Measure Up?
. Name Date A c t i v i t y 3 How Do You Measure Up? Height Arm Span Does increasing the amount of time practicing a sport increase performance levels in that sport? Does decreasing the speed at which
More informationLAB 4: APPROXIMATING REAL ZEROS OF POLYNOMIAL FUNCTIONS
LAB 4: APPROXIMATING REAL ZEROS OF POLYNOMIAL FUNCTIONS Objectives: 1. Find real zeros of polynomial functions. 2. Solve nonlinear inequalities by graphing. 3. Find the maximum value of a function by graphing.
More informationCalculate Confidence Intervals Using the TI Graphing Calculator
Calculate Confidence Intervals Using the TI Graphing Calculator Confidence Interval for Population Proportion p Confidence Interval for Population μ (σ is known 1 Select: STAT / TESTS / 1PropZInt x: number
More informationCalculator Notes for the TI83 and TI83/84 Plus
CHAPTER 10 Calculator Notes for the Note 10A Unit Circle Follow these steps to graph a unit circle: a. Press MODE and set the third line to Degree and the fourth line to Par. b. On the Y screen, enter
More informationBasic Calculator Functions
Integrated Algebra Graphing Calculator Crash Course Name Date Over the past few months, we have used the graphing calculator to help us graph functions and perform a variety of calculations. The graphing
More informationGraphing Linear Equations
Graphing Linear Equations I. Graphing Linear Equations a. The graphs of first degree (linear) equations will always be straight lines. b. Graphs of lines can have Positive Slope Negative Slope Zero slope
More informationLesson 6 Rational Functions. Topics OUTLINE. Introduction
Lesson 6 Rational Functions Introduction In the last lesson we discussed polynomials and looked at how to add, subtract and multiply polynomials, but what happens when we divide polynomials? When we divide
More informationIn the Herb Business, Part III Factoring and Quadratic Equations
74 In the Herb Business, Part III Factoring and Quadratic Equations In the herbal medicine business, you and your partner sold 120 bottles of your best herbal medicine each week when you sold at your original
More informationCharging Up, Charging Down: Exponential Models
Charging Up, Charging Down: Exponential Models Activity 18 A capacitor is an electronic component used to store electrical energy. Many of the devices you use on a daily basis, such as your calculator,
More informationAnalyzing Enzyme Kinetic Data with a Graphing Calculator PART A: LINEWEAVERBURK PLOTS
Analyzing Enzyme Kinetic Data with a Graphing Calculator PART A: LINEWEAVERBURK PLOTS In discussing the properties of an enzyme, certain values, or parameters are determined experimentally under steady
More informationGRAPHING LINEAR EQUATIONS IN TWO VARIABLES
GRAPHING LINEAR EQUATIONS IN TWO VARIABLES The graphs of linear equations in two variables are straight lines. Linear equations may be written in several forms: SlopeIntercept Form: y = mx+ b In an equation
More informationTI92 GRAPHING CALCULATOR BASIC OPERATIONS
TI92 GRAPHING CALCULATOR BASIC OPERATIONS by Carolyn Meitler Concordia University Wisconsin B1 Getting Started Press ON to turn on the calculator. Press 2nd 6 to get the MEMORY screen (shown at the right).
More informationChapter 1 Linear Equations and Graphs
Chapter 1 Linear Equations and Graphs Section 1.1  Linear Equations and Inequalities Objectives: The student will be able to solve linear equations. The student will be able to solve linear inequalities.
More informationEL9650/9600c/9450/9400 Handbook Vol. 1
Graphing Calculator EL9650/9600c/9450/9400 Handbook Vol. Algebra EL9650 EL9450 Contents. Linear Equations  Slope and Intercept of Linear Equations 2 Parallel and Perpendicular Lines 2. Quadratic Equations
More informationGraphing Quadratic Functions
Problem 1 The Parabola Examine the data in L 1 and L to the right. Let L 1 be the x value and L be the yvalues for a graph. 1. How are the x and yvalues related? What pattern do you see? To enter the
More information1.6 A LIBRARY OF PARENT FUNCTIONS. Copyright Cengage Learning. All rights reserved.
1.6 A LIBRARY OF PARENT FUNCTIONS Copyright Cengage Learning. All rights reserved. What You Should Learn Identify and graph linear and squaring functions. Identify and graph cubic, square root, and reciprocal
More informationBeginning with the TINspire Math and Science Learning Handheld. Overview. Selects an object on the screen. object on the screen.
Beginning with the TINspire Math and Science Learning Handheld Materials TINspire Math and Science Learning Handheld Overview Explore the functionality of the TINspire handheld. x Key Name Click Key
More informationTRIGONOMETRIC EQUATIONS
CHAPTER 3 CHAPTER TABLE OF CONTENTS 3 FirstDegree Trigonometric Equations 3 Using Factoring to Solve Trigonometric Equations 33 Using the Quadratic Formula to Solve Trigonometric Equations 34 Using
More informationDefinition: A vector is a directed line segment that has and. Each vector has an initial point and a terminal point.
6.1 Vectors in the Plane PreCalculus 6.1 VECTORS IN THE PLANE Learning Targets: 1. Find the component form and the magnitude of a vector.. Perform addition and scalar multiplication of two vectors. 3.
More informationOverview. Observations. Activities. Chapter 3: Linear Functions Linear Functions: SlopeIntercept Form
Name Date Linear Functions: SlopeIntercept Form Student Worksheet Overview The Overview introduces the topics covered in Observations and Activities. Scroll through the Overview using " (! to review,
More informationThe domain is all real numbers. The range is all real numbers greater than or equal to the minimum value, or {y y 1.25}.
Use a table of values to graph each equation. State the domain and range. 1. y = x 2 + 3x + 1 x y 3 1 2 1 1 1 0 1 1 5 2 11 Graph the ordered pairs, and connect them to create a smooth curve. The parabola
More informationPLOT DATA ANDTHE CURVE OF BEST FIT TI83
PLOT DATA ANDTHE CURVE OF BEST FIT TI83 Jose H. Giraldo The process for the topics we want to cover will be illustrated with an example. Consider the data in the table below. Time (t) 0 1 2 3 4 5 6 Population
More informationBASICS: USING THE TI83 CALCULATOR KENKEL NOTES:
BASICS: USING THE TI83 CALCULATOR KENKEL NOTES: LINK FOR VARIOUS TI CALCULATOR HANDBOOKS: http://education.ti.com/educationportal/appsdelivery/download/ download_select_product.jsp?cid=us&displaymode=g&contentpaneid=17
More informationSection 1.8 Coordinate Geometry
Section 1.8 Coordinate Geometry The Coordinate Plane Just as points on a line can be identified with real numbers to form the coordinate line, points in a plane can be identified with ordered pairs of
More informationLearning Objectives for Section 1.2 Graphs and Lines. Linear Equations in Two Variables. Linear Equations
Learning Objectives for Section 1.2 Graphs and Lines After this lecture and the assigned homework, ou should be able to calculate the slope of a line. identif and work with the Cartesian coordinate sstem.
More informationMaterials Needed: String, Circular Lids of various sizes, Ruler and/or Meter Stick
Title: Experimentally Calculating Pi Background: Because the diameter of a circle is related to the circumference of a circle, we can find this constant relationship by measuring several lids and fitting
More information) represents the original function, will a, r 1
Transformations of Quadratic Functions Focus on Content: Download Problem Sets Problem Set #1 1. In the graph below, the quadratic function displayed on the right has been reflected over the yaxis producing
More informationAnalyzing Polynomial and Rational Functions
Analyzing Polynomial and Rational Functions Raja Almukahhal, (RajaA) Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as
More informationPreCalculus 20 Chapter 3 Notes
Section 3.1 Quadratic Functions in Vertex Form PreCalculus 20 Chapter 3 Notes Using a table of values, graph y = x 2 y x y=x 22 42 4 x Using a table of values, graph y = 1x 2 (or y = x 2 ) y x y=x
More informationCalculator Notes for the TI89, TI92 Plus, and Voyage 200
CHAPTER 3 Note 3A Entering, Graphing, and Tracing Equations Equations are entered into the Y Editor screen for various purposes, including graphing. You can enter up to 99 equations, y1 to y99. Entering
More informationTI83 Tutorial: Graphing Step Functions:
TI83 Tutorial: Graphing Step Functions: Uses: Y= Editor, Graph Screen and Test Menu Related Tutorials: Graphing Problem: Graph the step function defined by: Make sure that the mode screen of the TI83
More informationCASIO CLASSPAD BASICS
CASIO CLASSPAD BASICS BEFORE BEGINNING: Check Operating Software (OS) version should be 3.03.3000 (or at least 3.02.3000) (Menu, System, System(at top of screen), Version (Software)) If this needs to be
More informationThe degree of the polynomial function is n. We call the term the leading term, and is called the leading coefficient. 0 =
Math 1310 Section 4.1: Polynomial Functions and Their Graphs A polynomial function is a function of the form = + + +...+ + where 0,,,, are real numbers and n is a whole number. The degree of the polynomial
More informationFunctions are entered from GRAPH Mode into the Y= screen and are referred to by name as Y1, Y2,..., Y19, Y20.
!"### Functions are entered from GRAPH Mode into the Y= screen and are referred to by name as Y1, Y2,..., Y19, Y20. To evaluate a function for a particular xvalue, for example, Y1 when x = 4, from RUN
More informationGraphing Calculator Manual TI83. Kathy V. Rodgers
Graphing Calculator Manual Kathy V. Rodgers University of Southern Indiana Evansville, Indiana to accompany Trigonometry, 5th Ed. Charles P. McKeague and Mark Turner Preface Technology, used appropriately,
More informationPart I: Review of the Vertex Form of the Quadratic Function y = a(x h) 2 + k. 2 the graph becomes wider
INVESTIGATING THE QUADRATIC FUNCTION IN STANDARD FORM y = ax 2 + bx + c Adapted from: Exploring Mathematics with the Transformation Graphing Application from Texas Instruments A quadratic function can
More information1.2 GRAPHS OF EQUATIONS. Copyright Cengage Learning. All rights reserved.
1.2 GRAPHS OF EQUATIONS Copyright Cengage Learning. All rights reserved. What You Should Learn Sketch graphs of equations. Find x and yintercepts of graphs of equations. Use symmetry to sketch graphs
More information(1) S = R, where S is the sum, i is the rate of interest per compounding
Solving Annuity Formulas for Interest Rate Iterative Routines on the TI 83/84 Floyd Vest Basic to mathematics of finance is the formula for the sum of an ordinary annuity. The formula in traditional terminology
More informationTitle: Take a B.R.E.A.T.H. with Us! (Balloon Regression Experiment Analyzing Time vs. Height) Activity
Title: Take a B.R.E.A.T.H. with Us! (Balloon Regression Experiment Analyzing Time vs. Height) Activity Brief Overview: The lesson introduces the concepts of line of bestfit (linear regression) and residuals.
More informationPass the Basketball Linear and Quadratic Data Collection Activities
Pass the Basketball Linear and Quadratic Data Collection Activities Many teachers have probably seen a linear version of this activity. Students determine the time it takes for different numbers of students
More informationTI89 GRAPHING CALCULATOR BASIC OPERATIONS. Carolyn Meitler Concordia University Wisconsin
TI89 GRAPHING CALCULATOR BASIC OPERATIONS by Carolyn Meitler Concordia University Wisconsin B1 Getting Started Press ON to turn on the calculator. Press 2nd right). 6 to get the MEMORY screen (shown
More informationThe High School Math Project Focus on Algebra. Building Boxes. (Polynomial and Rational Functions)
The High School Math Project Focus on Algebra Building Boxes (Polynomial and Rational Functions) Objective Students will use the graphing calculator to explore general patterns of polynomial and rational
More informationTexas Instruments TI92 Graphics Calculator Systems of Linear Equations
Part IV: IV.1 Texas Instruments TI92 Graphics Calculator Systems of Linear Equations IV.1.1 Basics: Press the ON key to begin using your TI92 calculator. If you need to adjust the display contrast, first
More informationTI83 Plus GRAPHING CALCULATOR BASIC OPERATIONS. Carolyn Meitler Concordia University Wisconsin
TI83 Plus GRAPHING CALCULATOR BASIC OPERATIONS by Carolyn Meitler Concordia University Wisconsin B1 Getting Started Press ON to turn on the calculator. Press 2nd + to get the MEMORY screen (shown at
More informationLesson 3 Using the Sine Function to Model Periodic Graphs
Lesson 3 Using the Sine Function to Model Periodic Graphs Objectives After completing this lesson you should 1. Know that the sine function is one of a family of functions which is used to model periodic
More information8.9 Intersection of Lines and Conics
8.9 Intersection of Lines and Conics The centre circle of a hockey rink has a radius of 4.5 m. A diameter of the centre circle lies on the centre red line. centre (red) line centre circle INVESTIGATE &
More informationThis workshop will. Exponential Functions
1 This workshop will Arapahoe Community College MAT 111 Graphing Calculator Techniques for Survey of Algebra TI83 Graphing Calculator Workshop #12 Exponential and Logarithmic Functions 1) explore graphs
More information