Absolute Value Functions Answers

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3

What are the domain and range of the function?

A
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B
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C
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D
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4

What are the domain and range of the function?

A
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B
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C
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D
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5

Question text not available

Answers:
Blank 1:-1
Blank 2:-7
7

Which of the following is a horizontal stretch of the parent function?

A
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B
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C
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8

Which graph shows f(x) = 0.5|x + 3| – 2?

A
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B
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C
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9

Which graph shows f(x) = |x| reflected across the x-axis, translated 2 units down and 1 unit to the left?

A
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B
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C
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10

Given the function f(x) = 4|x – 5| + 3, for what values of x is f(x) = 15?

A
x = 2, x = 8
B
x = 1.5, x = 8
C
x = 2, x = 7.5
D
x = 0.5, x = 7.5
16

Which graph shows f(x) = 0.5|x + 3| – 2?

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
18

Given the function f(x) = 4|x – 5| + 3, for what values of x is f(x) = 15?

A
x = 2, x = 8
B
x = 1.5, x = 8
C
x = 2, x = 7.5
D
x = 0.5, x = 7.5
20

The graph of an absolute value function has a vertex at (–2, 3) and passes through the point (–1, 0). Using transformations of the parent function, has the graph been dilated by a scale factor other than 1? Explain.

Answer:

Yes, the graph has been dilated by a scale factor of 3. To determine this, use the standard form of an absolute value function, y = a|x – h| + k, where (h, k) is the vertex. Substituting the vertex (-2, 3) and the point (-1, 0) into the equation gives 0 = a|(-1) – (-2)| + 3. Simplifying this results in 0 = a(1) + 3, which means a = –3. Since the absolute value of a is 3 (not 1), the graph has undergone a vertical stretch (dilation).

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