AnswersAZ-Common Core Algebra II ARational Inequalities

Graphing Exponential Functions Answers

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1
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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
2
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negative infinityzero✔ positive infinity

A
negative infinity
B
zero
C
✔ positive infinity
3

Question text not available

Answers:
The range of the function is to because 4x is always positive.:zero
The range of the function is to because 4x is always positive.:positive infinity
4

negative infinityzero✔ positive infinity

A
negative infinity
B
zero
C
✔ positive infinity
5

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
6

Complete the tables of values. x 4−x −1 4 0 a 2 b 4 c a = b = c =

Answers:
Blank 1:1
Blank 2:0.25
Blank 3:0.0625
7

Identify the horizontal asymptote of each graph.

Question illustration
A
y = 0
B
y = 1
C
y = 6
8

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
9

b =

Answer:

1/2

10

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.
11

Which graph represents the function ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
12

Which function is graphed on the right?

A
y = 2x+3 – 2
B
y = 2x–3 + 2
C
y = 2x–2 + 3
D
y = 2x–2 – 3
13

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

Question illustration
Answer:

To graph the function y = 3 * 7^(-x) + 2, start with the parent function y = 7^x. First, reflect the graph across the y-axis to account for the negative exponent, which gives y = 7^(-x). Next, apply a vertical stretch by a factor of 3 to obtain y = 3 * 7^(-x). Finally, shift the graph vertically up 2 units to reach the final function y = 3 * 7^(-x) + 2.

14

y = 0y = –3y = –5

Question illustration
A
y = 0
B
y = –3
C
y = –5
15

✔ 0 to infinity3 to infinitynegative infinity to infinity

A
✔ 0 to infinity
B
3 to infinity
C
negative infinity to infinity
16

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.
Option C
D
The graph shows y = 2x reflected over the y-axis.
17

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.
18

Which of the following did you include in your response?

A
Sketch the graph of .
Option A
B
Reflect the graph across the y-axis to show the function .
Option B
C
Stretch the graph vertically by a factor of 3 to show the function
Option C
D
Shift the graph up 2 units to show the function
Option D
19

negative infinity✔ zeropositive infinity

Answers:
The range of the function is to because 4x is always positive.:zero
The range of the function is to because 4x is always positive.:positive infinity
20

negative infinity to zero0 to infinity✔ negative infinity to infinity

Answers:
The domain of this function is .:negative infinity to infinity
The range of this function is .:3 to infinity

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