Graphing Exponential Functions Answers

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1
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Use the graph of the function y = 4x to answer the following questions.

Answers:
The domain of the function is to because an exponent can be any real number.:negative infinity
The domain of the function is to because an exponent can be any real number.:positive infinity
2
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negative infinityzeropositive infinity

A
negative infinity
B
zero
C
positive infinity
3

negative infinityzeropositive infinity

A
negative infinity
B
zero
C
positive infinity
4

negative infinityzeropositive infinity

A
negative infinity
B
zero
C
positive infinity
9

Identify the domain and range of each function.

Answers:
The domain of this function is .:negative infinity to infinity
10

b =

Answer:

1/2

11

How does the graph of y = 3x compare to the graph of y = 3–x?

A
The graphs are the same.
B
The graphs are reflected across the x-axis.
C
The graphs are reflected across the y-axis.
12

Which graph represents the function ?

Question illustration
A
Option
B
Option
C
Option
14

How can you use transformations to graph this function? Explain your steps.

Question illustration
Answer:

Start with y = 7^x. Reflect it across the y-axis to get y = 7^{-x}, stretch it vertically by a factor of 3 to get y = 3(7^{-x}), and shift it up 2 units to get y = 3(7^{-x}) + 2. The horizontal asymptote is y = 2.

16

y = 0y = –3y = –5

Question illustration
A
y = 0
B
y = –3
C
y = –5
17

0 to infinity3 to infinitynegative infinity to infinity

A
0 to infinity
B
3 to infinity
C
negative infinity to infinity
18

Which statements are true about the graph?

A
The graph shows exponential growth.
B
The graph shows exponential decay.
C
The graph shows reflected over the x-axis.
D
The graph shows y = 2x reflected over the y-axis.
19

How does the graph of y = 3–x compare to the graph of

Question illustration
A
The graphs are the same.
B
The graphs are reflected across the x-axis.
C
The graphs are reflected across the y-axis.
20

Which of the following did you include in your response?

A
Sketch the graph of .
B
Reflect the graph across the y-axis to show the function .
C
Stretch the graph vertically by a factor of 3 to show the function
D
Shift the graph up 2 units to show the function

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