AnswersINMT2 Integrated Math 2 Sem 1 26-27Step Functions

Absolute Value Functions and Translations Answers

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The graph shows f(x) = |x – h| + k. What is the value of h?

A
h = 2.5
B
h = –1.5
C
h = 1.5
D
h = –2.5
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Answers:
Blank 1:3
Blank 2:6
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Answer:

6

83084

(2, 1)✔ (–2, 1)(1, 2)(–1, –2)

A
(2, 1)
B
✔ (–2, 1)
C
(1, 2)
D
(–1, –2)
83085

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
83086

On which interval is the function increasing?

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

The graph of f(x) = |x| has been translated left 2 units and up 1 unit. If no other transformations of the function have occurred, which point lies on the new graph?

A
(–4, 2)
B
(–3, 1)
C
( –2, 5)
D
( –1, 2)
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Answers:
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Blank 2:6

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