AnswersFL-1200710-Mathematics for College Algebra AModeling with Systems of Linear Equations

Reflections and Dilations of Absolute Value Functions Answers

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1
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Question illustration
A
f(x) = –|x| + 1
B
f(x) = –|x – 1|
C
f(x) = |–x| + 1
D
f(x) = |–x – 1|
2
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Which graph represents the function f(x) = |x|?

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A
Option
B
Option
C
Option
D
Option
3

Which graph represents the function f(x) = –|x| – 2?

A
Option
B
Option
C
Option
D
Option
4

Which graph represents the function f(x) = –|x + 3|?

A
Option
B
Option
C
Option
D
Option
5

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Question illustration
A
f(x) = |x| + 3
B
f(x) = |x − 6|
C
f(x) = |x|
Option C
D
f(x) = 9|x|
6

The absolute value function, f(x) = |x + 2|, is shown.

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A
all real numbers
B
all real numbers greater than or equal to 0
C
all real numbers greater than or equal to –2
D
all real numbers less than or equal to –2
7

Question text not available

Question illustration
A
f(x) = −|x − 3| + 4
B
f(x) = −|x + 3| + 4
C
f(x) = −|x − 4| + 3
D
f(x) = −|x + 4| + 3
8

Question text not available

Question illustration
A
f(x) = |x| – 3
B
f(x) = |x + 2|
C
f(x) = 0.5|x|
D
f(x) = 4|x|
9

Question text not available

Question illustration
A
Both the domain and range of the transformed function are the same as those of the parent function.
B
Neither the domain nor the range of the transformed function are the same as those of the parent function.
C
The range of the transformed function is the same as the parent function, but the domains of the functions are different.
D
The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.
10

Question text not available

Question illustration
A
f(x) = 1.3|x| – 2
B
f(x) = 3|x – 2|
C
f(x) = |x – 2|
Option C
D
f(x) = |x| + 2
Option D

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