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Exponential Functions & Transformations

Exponential Functions & Transformations

Assessment

Presentation

Mathematics

9th - 10th Grade

Medium

CCSS
HSF-IF.C.7E, HSF.IF.B.5, HSF.BF.B.3

+10

Standards-aligned

Created by

Teri Salter

Used 242+ times

FREE Resource

4 Slides • 15 Questions

1

Exponential Functions & Transformations


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2

Transformations

  • Shifts

  • Stretches

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3

f(x) = 2x

(Parent Function)

  • g(x) = 2x + 3 represents __________________

  • h(x) = 2x - 3 represents __________________

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4

Domain & Range

  • f(x): Domain: ___________ Range: _________

  • g(x): Domain: ___________ Range: _________

  • h(x): Domain: ___________ Range: _________

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5

Multiple Choice

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What is the domain of the function shown below?
1
-2 < x < 5
2
0 < x < 12
3
y > 0
4
All Real Numbers

6

Multiple Choice

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What is the range of the function shown below?
1
0 < y < 12
2
-2 < y < 5
3
y > 0
4
All Real Numbers 

7

Multiple Choice

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Which represents exponential decay?

1

A

2

B

3

C

4

D

8

Multiple Choice

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Is this exponential growth or decay?
1
Growth
2
Decay

9

Multiple Choice

Determine the horizontal asymptote for the function

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

1

x=4

2

y=4

3

x=5

4

y=5

10

Multiple Choice

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Does this table represent exponential growth or decay?

1

Growth

2

Decay

11

Multiple Choice

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Which function represents the table of values?

1

f(x) = 4x

2

f(x) = x4

3

f(x) = 4x

4

f(x) = 4x-1

12

Multiple Choice

Question image
Is this exponential growth or decay?
1
Growth
2
Decay

13

Multiple Choice

Determine the range for the function

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

1

[5,∞)

2

(5,∞)

3

[4,∞)

4

(4,∞)

14

Multiple Select

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

1

The exponential decay has been reflected.

2

The exponential growth has been reflected.

3

The function has been shifted down 2 units.

4

The function has an growth rate of 2.

15

Multiple Choice

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What is the a-value of the function?

1

4

2

3

3

2

4

1

16

Multiple Choice

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

1

y = 5⋅(1/5)x

2

y = 5⋅(7/2)x

3

y = 5⋅8x

4

y = 5⋅1.5x

17

Multiple Choice

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

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

1

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

2

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

3

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

4

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

18

Multiple Choice

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Which transformation is shown?

1

f(x)=2x-1-3

2

f(x)=2x-1+3

3

f(x)=2x+1-3

4

f(x)=2x+1+3

19

Multiple Choice

Determine the domain for the function
f(x)=3(2)x-4+5
1
[5,∞)
2
(5,∞)
3
(-∞,∞)
4
(∞,-∞)

Exponential Functions & Transformations


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