AnswersFL-1200310-Algebra 1 AAbsolute Value Functions and Translations

Reflections and Dilations of Absolute Value Functions Answers

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1
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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.
2
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f
f(x) = 1.3|x| – 2
f
f(x) = 3|x – 2|
f
f(x) = |x – 2|
Option f
f
f(x) = |x| + 2
Option f
3

Question text not available

Question illustration
f
f(x) = –|x| + 1
f
f(x) = –|x – 1|
f
f(x) = |–x| + 1
f
f(x) = |–x – 1|
4

Question text not available

Question illustration
a
all real numbers
a
all real numbers less than or equal to −2
a
all real numbers less than or equal to 1
a
all real numbers greater than or equal to −2
6

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

Question illustration
A
Option
B
Option
C
Option
D
Option
7

Question text not available

Question illustration
f
f(x) = |x| – 3
f
f(x) = |x + 2|
f
f(x) = 0.5|x|
f
f(x) = 4|x|
8

The function shown is reflected across the y-axis to create a new function.

Question illustration
B
Both the domain and range change.
B
Both the range and domain stay the same.
T
The domain stays the same, but the range changes.
T
The range stays the same, but the domain changes.
9

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

A
Option
B
Option
C
Option
D
Option
10

Question text not available

Question illustration
f
f(x) = |x| + 3
f
f(x) = |x − 6|
f
f(x) = |x|
Option f
f
f(x) = 9|x|
11

Question text not available

Question illustration
A
f(x) = –|x| + 4
B
f(x) = –|x| – 4
C
f(x) = –|x + 4|
D
f(x) = –|x – 4|
12

The absolute value function, f(x) = –|x| – 3, is shown.

Question illustration
A
all real numbers
B
all real numbers less than or equal to 0
C
all real numbers greater than or equal to –3
D
all real numbers less than or equal to –3
13

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

A
Option
B
Option
C
Option
D
Option
14

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
15

Which graph represents the function f(x) = −|x − 2| − 1?

A
Option
B
Option
C
Option
D
Option
16

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

Question illustration
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

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