AnswersFL-1200310-Algebra 1 AAbsolute Value Functions and Translations

Absolute Value Functions and Translations Answers

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1
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Which phrases describe the graph of f(x) = |x| ? Check all that apply.

A
V-shaped
B
U-shaped
C
opens up
D
opens down
E
symmetric with respect to the x-axis
F
symmetric with respect to the y-axis
2
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{y | y is all real numbers}{y | y is greater than zero}✔ {y | y is greater than or equal to zero}

A
{y | y is all real numbers}
B
{y | y is greater than zero}
C
✔ {y | y is greater than or equal to zero}
3

constantdecreasing✔ increasing

A
constant
B
decreasing
C
✔ increasing
4

constant✔ decreasingincreasing

A
constant
B
✔ decreasing
C
increasing
5

Complete the statements for the graph of f(x) = |x|.

Answers:
The domain of the function is .:{x |x is all real numbers}
The range of the function is .:{y | y is greater than or equal to zero}
The graph is over the interval (0, ∞).:increasing
The graph is over the interval (–∞, 0).:decreasing
6

Complete the statements for the graph of f(x) = |x|.

Answers:
The domain of the function is .:{x |x is all real numbers}
The range of the function is .:{y | y is greater than or equal to zero}
The graph is over the interval (0, ∞).:increasing
The graph is over the interval (–∞, 0).:decreasing
7

(2, 1)✔ (–2, 1)(1, 2)(–1, –2)

A
(2, 1)
B
✔ (–2, 1)
C
(1, 2)
D
(–1, –2)

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