AnswersFL-1200310-Algebra 1 AAbsolute Value Functions and Translations

Reflections and Dilations of Absolute Value Functions Answers

17 verified answers
1
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Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0.1|x – 3|?

A
It is wider and shifted 3 units to the left.
B
It is wider and shifted 3 units to the right.
C
It is narrower and shifted 3 units to the left.
D
It is narrower and shifted 3 units to the right.
2
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all real numbers✔ all real numbers greater than or equal to 0all real numbers greater than or equal to 0.5

A
all real numbers
B
✔ all real numbers greater than or equal to 0
C
all real numbers greater than or equal to 0.5
3

all real numbers✔ all real numbers greater than or equal to 0all real numbers greater than or equal to 0.5

A
all real numbers
B
✔ all real numbers greater than or equal to 0
C
all real numbers greater than or equal to 0.5
83136

Determine the domain and range of the function f(x) = –|x| + 2.

Answers:
The domain of the function is .:all real numbers
The range of the function is .:all numbers less than or equal to 2
83137

all real numbersall numbers greater than or equal to 2✔ all numbers less than or equal to 2

A
all real numbers
B
all numbers greater than or equal to 2
C
✔ all numbers less than or equal to 2
83138

Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply.f(x) = |x|f(x) = |x – 2|f(x) = |x| + 3f(x) = 2.9|x|f(x) = 1.2|x + 8|f(x) = 0.7|x| – 3.2

Question illustration
A
f(x) = |x|
Option A
B
f(x) = |x – 2|
C
f(x) = |x| + 3
D
f(x) = 2.9|x|
E
f(x) = 1.2|x + 8|
F
f(x) = 0.7|x| – 3.2
83139

Question text not available

Answers:
The graph of the function f(x) = 0.5|x| is than its parent graph, f(x) = |x|.:wider
The domain of the function is .:all real numbers
The range of the function is .:all real numbers greater than or equal to 0
83140

✔ all real numbersall real numbers greater than or equal to 0all real numbers greater than or equal to 0.5

Answers:
The graph of the function f(x) = 0.5|x| is than its parent graph, f(x) = |x|.:wider
The domain of the function is .:all real numbers
The range of the function is .:all real numbers greater than or equal to 0
83144

Which statements are true about the function f(x) = –|x| – 2? Check all that apply.The parent function and this function open in the same direction.The parent function and this function have the same range.The parent function and this function have the same domain.The range of the function is all real numbers less than or equal to –2.The domain of the function is all real numbers greater than or equal to –2.There are no values from the domain of the parent function that are also in the domain of this function.

A
The parent function and this function open in the same direction.
B
The parent function and this function have the same range.
C
The parent function and this function have the same domain.
D
The range of the function is all real numbers less than or equal to –2.
E
The domain of the function is all real numbers greater than or equal to –2.
F
There are no values from the domain of the parent function that are also in the domain of this function.
83145

Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0.1|x – 3|?

A
It is wider and shifted 3 units to the left.
B
It is wider and shifted 3 units to the right.
C
It is narrower and shifted 3 units to the left.
D
It is narrower and shifted 3 units to the right.
83147

Which is the equation of the function?

A
f(x) = 3|x| + 1
Option A
B
f(x) = 3|x – 1|
Option B
C
f(x) = |x| + 1
Option C
D
f(x) = |x – 1|
Option D
83148

Which function is represented by the graph?

A
|–x + 3|
B
–|x + 3|
C
–|x| + 3
D
|–x| + 3
83149

✔ all real numbersall numbers greater than or equal to 2all numbers less than or equal to 2

A
✔ all real numbers
B
all numbers greater than or equal to 2
C
all numbers less than or equal to 2

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