Graphing Exponential Functions

Practice Questions

Algebra II › Graphing Exponential Functions

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1

Determine whether each function represents exponential decay or growth.

2

Match each function with its graph.

1.

2.

3.

a.3time2tothex

b.1over2tothex

c.2_tothe_x

3

What is the -intercept of the graph ?

4

In 2010, the population of trout in a lake was 416. It has increased to 521 in 2015.

Write an exponential function of the form that could be used to model the fish population of the lake. Write the function in terms of , the number of years since 2010.

5

What is the -intercept of ?

6

What is the -intercept of ?

7

Which of the following correctly describes the graph of an exponential function with a base of three?

8

An exponential funtion is graphed on the figure below to model some data that shows exponential decay. At , is at half of its initial value (value when ). Find the exponential equation of the form that fits the data in the graph, i.e. find the constants and .

Expdecay

9

Give the -intercept of the graph of the equation .

10

What is/are the asymptote(s) of the graph of the function ?

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