Solving a System of Equations by Graphing
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1 Tutorial Overview In this tutorial, you will learn how to solve a system of equations by graphing with the TI-Nspire CX. Step 1: Press c, and select 1: New Document to open a new document. Part One: Solving a System of Equations by Graphing Step 2: Choose 2: Add Graphs If the linear equation you want to graph is in f(x) form or y= form, proceed to Step 3. If it is in standard form, skip to Steps Step 3: The cursor will be in the entry line at the top of the screen to the right of f1(x)=. To graph the function f(x) = x+4, type x+4 on the graph entry line and then press. Step 4: To graph the function f(x) = -2x + 1,first press e to view the entry line. Alternatively, press /G to display the entry line. When f2(x) appears on the graph entry line, type -2x+1, and then press. Note: To graph multiple functions without closing the new entry line, press the down arrow after entering a function rule to scroll through the graph entry lines. After entering the last function rule, press Texas Instruments Incorporated 1 education.ti.com
2 Step 5: Grab and drag the label for f1(x) or f2(x) so that they are in the first quadrant. We do this to make sure the function labels are out of the way to prepare for the next step. You may move text or labels anywhere in the viewable area on your screen. Step 6: To trace and display function values for multiple graphed functions, press b, then select 5: Trace, 2: Trace All. To trace on the functions, press the left or right arrow key on the Touchpad Texas Instruments Incorporated 2 education.ti.com
3 Step 7: While the Trace tool is active, function values for a particular value of x may be displayed. Type a value for x (the number 2 was chosen for this example) and then press to display the function values at that value of x. Note: If a value for x outside of the window settings is entered while tracing, the window will readjust for that particular x-value Texas Instruments Incorporated 3 education.ti.com
4 Step 8: To change the trace step size, press b, then select 5: Trace, 3: Trace Step. Press the arrow to the right of the word Automatic in the dialog box and select Enter Value. Enter a value for Trace Step (0.25 for this example) and then press. Step 9: Trace until the point of intersection is located. To exit Trace tool, press d 2014 Texas Instruments Incorporated 4 education.ti.com
5 Part Two: Finding the point of intersection using the Intersection Point(s) Tool. Step 10: Press / I or /~ to insert a new page in the document. Select 2: Add Graphs. Note that this is page 1.2 problem 1, page 2. Enter the function f3(x) = x+1. Note: The entry line displays f3(x)= since f3 is the next available function in this problem. Step 11: Press b, then select 3: Graph Entry/Edit, 2: Equation, 1: Line, 3: Line Standard a * x+b * y=c. Press. The template for a line in standard form will appear in the entry line Texas Instruments Incorporated 5 education.ti.com
6 Step 12: Type the equation 3x+2y=3 into the template and press. You may use the e or arrow keys to move between the blank boxes for the values a, b and c in the template. (Be sure to include the negative sign if necessary). Step 13: Press b, then select 8: Geometry, 1: Points &Lines, 3: Intersection Point(s) Texas Instruments Incorporated 6 education.ti.com
7 Step 14: Using the Touchpad, move the cursor tool, ø, to the graph of one of the functions, and press the center of the touchpad, or x, to select the function. Repeat Step 14 to select the other function. The point of intersection and its coordinates will be displayed. To exit the Intersection Point(s) tool, press d. Note: To change the number of digits displayed, you can hover over the x- and/or y- coordinate and press - to reduce the number of digits displayed or + to increase the number of digits displayed Texas Instruments Incorporated 7 education.ti.com
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