Alg. 7-5

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7-5 Exponential

Functions

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Learning Target and Success Criteria

Learning Target

Success Criteria

❖

I can graph an exponential
function

❖

I can distinguish between
exponential growth and decay

❖

I will use a table to create
coordinates and graph my
function

❖

I will be able to distinguish
between exponential growth
and decay with the function or
the graph

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What is an Exponential Function

An exponential function is a function in the form

a≠0

b>0

b≠0

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Two Types of Exponential Functions

Exponential Growth

Exponential Decay

●In order to be an
exponential growth the
following must be true:

a>0

b>1

They will always rise/grow from
left to right

●In order to be an
exponential decay the
following must be true:

a>0

0<b<1

They will always fall/decay from
left to right

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Two Types of Exponential Functions

Exponential Growth

Exponential Decay

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Is the exponential function a growth or
decay?

Example 1

Example 2

WOULD YOU RATHER…

HAVE 3 MONTHS OF SUMMER

VACATION?

HAVE A WEEK OF VACATION

EVERY MONTH?

OR

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Exponential Function in Real
World

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Learning Target and Success Criteria

Learning Target

Success Criteria

❖

I can graph an exponential
growth function

❖

I can distinguish between
exponential growth and decay

❖

I will use a table to create
coordinates and graph my
function

❖

I will be able to distinguish
between exponential growth
and decay with the function or
the graph

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Graph the Function

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Graph the Function

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Graph the Function

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Graph the Function

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Learning Target and Success Criteria

Learning Target

Success Criteria

❖

I can graph an exponential
growth function

❖

I can distinguish between
exponential growth and decay

❖

I will use a table to create
coordinates and graph my
function

❖

I will be able to distinguish
between exponential growth
and decay with the function or
the graph

WOULD YOU RATHER…

EAT AT JACK IN THE BOX?

EAT AT MCDONALD'S?

OR

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Exponential Function With
Vertical Movement

If you see a k in your function, that means you have a vertical
movement. Positive k goes up, negative k goes down

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Graph the Function

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Graph the Function

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Graph the Function

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Graph the Function

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Learning Target and Success Criteria

Learning Target

Success Criteria

❖

I can graph an exponential
growth function

❖

I can distinguish between
exponential growth and decay

❖

I will use a table to create
coordinates and graph my
function

❖

I will be able to distinguish
between exponential growth
and decay with the function or
the graph