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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y = 0y = –3y = –5

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A
y = 0
B
y = –3
C
y = –5
3

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

Which graph represents the function ?

Question illustration
A
Option
B
Option
C
Option
12

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.

13

b =

Answer:

1/2

14

Identify the domain and range of each function.

Answers:
The domain of this function is .:negative infinity to infinity
The range of this function is .:0 to infinity
15

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.
16

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
19

Identify the domain and range of each function.

Answers:
The domain of this function is .:negative infinity to infinity
The range of this function is .:0 to infinity
20

b = ⇒ 0.5

Answer:

0.5

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