IXL - Match exponential functions and graphs I (Algebra 1 practice)

Match each exponential function to its graph.

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Learn with an example

question

Match each exponential function to its graph.

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key idea

This is an equation for an exponential function:

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is the growth or decay factor.

If
b
>
1
,
the function is growing.
If
0
<
b
<
1
,
the function is decaying.

solution

First, determine whether each function is growing or decaying by looking at the value of

Function	Growing or decaying
g ( x ) = i 1 3 i x	decaying
j ( x ) = 3 x	growing
h ( x ) = i 3 2 i x	growing
k ( x ) = i 2 3 i x	decaying

Consider the growing functions,

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and

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Evaluate each function at a few

-values

to find some points on the graph. Choose values that are easy to work with, like

and

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So,

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includes the points

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and

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and

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includes the points

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and

Consider the decaying functions,

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and

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Evaluate each function at a few

-values

to find some points on the graph. Choose values that are easy to work with, like

–

and

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)

–

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)

–

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So,

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includes the points

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)

and

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and

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includes the points

–

and

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Looking for more? Try these:

Lesson: Exponential functions

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V.2Graph exponential functions

Lesson: Exponential functions

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