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Lesson 8.1 Exponential Growth and Decay Functions

Last updated over 1 year ago

11 questions

Note from the author:

I can identify the effect of transformations on exponential functions to model situations of growth and decay.

Instructions

I can identify the effect of transformations on exponential functions to model situations of growth and decay.

Untitled Section

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Computers as an Investment

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Bonds

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Question 1

1.

How are the functions
and
similar? How are they different?

Question 2

2.

Describe the effect of each transformation on the graph of the parent function whose base is the same as that of the given function. Then determine the domain, range, end behavior, y-intercept, two reference points, and the horizontal asymptote of the following function. Lastly, graph the function on the coordinate plane provided.

Question 3

3.

Describe the effect of each transformation on the graph of the parent function whose base is the same as that of the given function. Then determine the domain, range, end behavior, y-intercept, two reference points, and the horizontal asymptote of the following function. Lastly, graph the function on the coordinate plane provided.

Question 4

4.

The graph of a parent exponential decay function f(x) is shown below. Graph the transformed function

Question 5

5.

Write an equation for the exponential growth function graphed below.

Question 6

6.

Write an equation for the exponential growth function graphed below.

Question 7

7.

Jack purchases a new computer for $2500. The value of the computer depreciates by 24% each year. Write an exponential model of the value of the computer.

Question 8

8.

When will the value of the computer be less than $160?

Question 9

9.

Trey invests $6000 in a bond that grows in value at 3% per year. Write a function that models the situation.

Question 10

10.

Use a graphing calculator to find how many years it will take for the value of the bond to first exceed twice its initial value.

Question 11

11.

Trey’s friend Simone invests $5000 in a bond that grows at a rate of 5% per year. Write a function that models the growth of Simone’s bond. When will Trey and Simone’s bonds have the same value? Explain how you found your answer.