Warm Up 295D. b. The first term of the sequence is 23 and the common ratio is 5.

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1 Warm Up 1. Write the first five terms of each sequence described and then identif the sequence as arithmetic or geometric. a. The first term of the sequence is 3 and the common difference is. b. The first term of the sequence is 3 and the common ratio is.. Write a function that describes the sequence in part (a) in eplicit form. 3. Write a function that describes the sequence in part (b) in eplicit form.. Which sequence in Question 1 is described b an eponential function?. Which sequence in Question 1 is described b a linear function? 1 Carnegie Learning 9D Chapter Eponential Functions

2 Check for Students Understanding Suppose that our famil deposited $1, in an interest bearing account for our college fund that earns % simple interest each ear and a friend s famil deposited $1, in an interest bearing account for their child s college fund that earns % compound interest each ear. Use the simple and compound interest formulas to complete the table and round the values in the table to the nearest cent. Time Simple Interest Balance Compound Interest Balance Units Epression How much mone will ou and our friend have in the college funds when ou each turn 1 ears old? 1 Carnegie Learning.1 Comparing Linear and Eponential Functions 3A

3 Warm Up 1. Describe the relationship between the two functions f() f() 1? Use a graphing calculator to graph each eponential function.. f() 3. f()?. f() 3?. f()? 1 Carnegie Learning. Graphs of Eponential Functions 3C

4 . Describe the graphical effect as the common ratio increases in the equation of the eponential function. 7. Without graphing the function, describe the graph of f()?. Graph the function f()? to verif our answer to Question. 1 Carnegie Learning 3D Chapter Eponential Functions

5 Check for Students Understanding 1. The deer population in a local neighborhood is rising at a rate of 3.% each ear. The parks and recreation department estimated the current deer population to be approimatel deer. Write the function, f(t), to represent the increase in the deer population as a function of time in ears. Use the function to create a table of values. Use the table of values to graph the function. Use a graphing calculator to verif our graph. Years f () Deer Population. In how man ears will the deer population reach 1,? 1 Carnegie Learning 3. In how man ears will the deer population reach,?. Graphs of Eponential Functions 31A

6 Warm Up 1. Graph the function f().. Move ever point on the graph of the function f() up units and graph the new function, g(). 1 Carnegie Learning 3. Write the function graphed in Question..3 Translations of Linear and Eponential Functions 313C

7 . Move ever point on the graph of the function g() to the right units and graph the new function, h().. Write the function graphed in Question.. Describe the graphical effect of moving a linear function up units and then to the right units. 7. What do ou think would be the graphical effect of moving a linear function down units and then to the left units. 1 Carnegie Learning 313D Chapter Eponential Functions

8 Check for Students Understanding Use a graphing calculator to graph each eponential function. 1. f()?. f()? 3. f()?. f()? 1 Carnegie Learning.3 Translations of Linear and Eponential Functions 3A

9 Consider the function in Question 1 as the root function and compare it to the graphs in Questions and 3.. Describe the graphical effect the negative sign has on the common ratio.. Describe the graphical effect the negative sign has on the eponent. 7. What do ou predict the graph of the function f()? will look like?. Graph the function f()? to verif our answer to Question 7. 1 Carnegie Learning 3B Chapter Eponential Functions

10 Warm Up 1. Graph a linear function with a slope of Write an equation for the function graphed in Question Graph a linear function with a -intercept at (, ) 1 Carnegie Learning. Write an equation for the function graphed in Question 3.. Reflections of Linear and Eponential Functions 37C

11 . Graph a linear function with a slope of and a -intercept at (, ) Write an equation for the function graphed in Question. 7. Describe the graph in Question if it was translated down units.. Describe the graph in Question if it was translated to the right. units. 1 Carnegie Learning 37D Chapter Eponential Functions

12 Check for Students Understanding 1. Graph an increasing eponential function.. Write an equation for the function graphed in Question Perform a transformation on the function graphed in Question 1 to change it to a decreasing function. 1 Carnegie Learning. Write an equation for the function graphed in Question 3.. Describe the transformation performed on the function in Question 3.. Reflections of Linear and Eponential Functions 33A

13 . Perform a transformation on the function graphed in Question 1 to shift it up units. 7. Write an equation for the function graphed in Question.. Describe the transformation performed on the function in Question 9. Perform a transformation on the function graphed in Question 1 to shift it to the right units. 1. Write an equation for the function graphed in Question 9. 1 Carnegie Learning 11. Describe the transformation performed on the function in Question 9 33B Chapter Eponential Functions

14 Warm Up Simplif each epression using the Quotient Rule of Powers Carnegie Learning. Properties of Rational Eponents 337C

15 Check for Students Understanding Match each rational epression with the appropriate radical epression. Rational Epression Radical Epression 1. 1 A B C D E F. 1 1 Carnegie Learning 3 Chapter Eponential Functions

16 Warm Up 1. Complete the table b using an eponent with a base of 3 to epress each term value. Term Term Value Eponential Equivalent What is the value of the 7 th term? 3. How did ou determine the value of the 7 th term?. How would ou determine the value of the 1 th term?. How would ou determine the value of the 1 th term? 1 Carnegie Learning. Solving Eponential Functions 37C

17 Check for Students Understanding Solve and eplain each step. ( 1 ) 1 1 Carnegie Learning. Solving Eponential Functions 3A