Transforming Exponential Functions

Presentation

•

Mathematics

•

9th - 10th Grade

•

Hard

Joseph Anderson

FREE Resource

4 Slides • 15 Questions

Exponential Functions & Transformations

Transformations

Shifts
Stretches

f(x) = 2^x

(Parent Function)

g(x) = 2^x + 3 represents __________________
h(x) = 2^x - 3 represents __________________

Domain & Range

f(x): Domain: ___________ Range: _________
g(x): Domain: ___________ Range: _________
h(x): Domain: ___________ Range: _________

Multiple Choice

What is the domain of the function shown below?

-2 < x < 5

0 < x < 12

y > 0

All Real Numbers

Multiple Choice

What is the range of the function shown below?

0 < y < 12

-2 < y < 5

y > 0

All Real Numbers

Multiple Choice

Which represents exponential decay?

Multiple Choice

Is this exponential growth or decay?

Growth

Decay

Multiple Choice

Determine the horizontal asymptote for the function

f(x) = 3(2)^x-4+ 5

x=4

y=4

x=5

y=5

Multiple Choice

Does this table represent exponential growth or decay?

Growth

Decay

Multiple Choice

Which function represents the table of values?

f(x) = 4x

f(x) = x⁴

f(x) = 4^x

f(x) = 4^x-1

Multiple Choice

Is this exponential growth or decay?

Growth

Decay

Multiple Choice

Determine the range for the function

f(x) = 3(2)^x-4+ 5

[5,∞)

(5,∞)

[4,∞)

(4,∞)

Multiple Select

Which of the following are TRUE about the function? (Choose all that apply)

The exponential decay has been reflected.

The exponential growth has been reflected.

The function has been shifted down 2 units.

The function has an growth rate of 2.

Multiple Choice

What is the a-value of the function?

Multiple Choice

Which of the following is an exponential decay? (Check all that apply)

y = 5⋅(1/5)^x

y = 5⋅(7/2)^x

y = 5⋅8^x

y = 5⋅1.5^x

Multiple Choice

Given the original exponential function defined by y=4^x, how would the graph change if the function were:

y=2(4)^x-3+1?

Vertically stretched by a factor of 2, right 3, and up 1

Vertically compressed by a factor of 1/2, left 3 and down 1

Vertically compressed by a factor of 1/2, right 3, and down 1

Vertically stretched by a factor of 2, left 3, and up 1

Multiple Choice

Which transformation is shown?

f(x)=2^x-1-3

f(x)=2^x-1+3

f(x)=2^x+1-3

f(x)=2^x+1+3

Multiple Choice

Determine the domain for the function
f(x)=3(2)^x-4+5

[5,∞)

(5,∞)

(-∞,∞)

(∞,-∞)

Exponential Functions & Transformations

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