AnswersFL-1200310-Algebra 1 AAbsolute Value Functions and Translations

Absolute Value Functions and Translations Answers

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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
75798

{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}
75799

constantdecreasing✔ increasing

A
constant
B
decreasing
C
✔ increasing
75800

constant✔ decreasingincreasing

A
constant
B
✔ decreasing
C
increasing
83084

(2, 1)✔ (–2, 1)(1, 2)(–1, –2)

A
(2, 1)
B
✔ (–2, 1)
C
(1, 2)
D
(–1, –2)
83086

Which function is represented by the graph?

A
f(x) = |x – 1| + 3
B
f(x) = |x + 1| – 3
C
f(x) = |x – 1| – 3
D
f(x) = |x + 1| + 3
83087

On which interval is the function increasing?

A
(–∞, –4)
B
(–∞, 4)
C
(–4, ∞)
D
(4, ∞)
83088

What are the domain and range of f(x) = |x – 3 | + 6?

A
Domain: {x | x is all real numbers}Range: {y | y ≥ 6}
B
Domain: {x | x ≥ 3}Range: {y | y ≥ 6}
C
Domain: {x | x is all real numbers}Range: {y | y ≥ – 6}
D
Domain: {x | x ≥ 3}Range: {y | y ≥ – 6}
83090

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

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