Absolute Value Functions and Translations

Question 1

Which phrases describe the graph of f(x) = |x| ? Check all that apply.V-shapedU-shapedopens upopens downsymmetric with respect to the x-axissymmetric with respect to the y-axis

Revolt · Accepted Answer

V-shaped; opens up; symmetric with respect to the y-axis

Question 2

{y | y is all real numbers}{y | y is greater than zero}✔ {y | y is greater than or equal to zero}

Revolt · Accepted Answer

✔ {y | y is greater than or equal to zero}

Question 3

constantdecreasing✔ increasing

Revolt · Accepted Answer

✔ increasing

Question 4

constant✔ decreasingincreasing

Revolt · Accepted Answer

✔ decreasing

Question 5

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

Revolt · Accepted Answer

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

Question 6

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

Revolt · Accepted Answer

✔ {x |x is all real numbers}; 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

Question 7

(2, 1)✔ (–2, 1)(1, 2)(–1, –2)

Revolt · Accepted Answer

✔ (–2, 1)

Question 8

The vertex of the graph of f(x) = |x – 3| + 6 is located at ( , ).

Revolt · Accepted Answer

3; 6

Question 9

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

Revolt · Accepted Answer

h = 2.5

Question 10

Which function is represented by the graph?

Revolt · Accepted Answer

f(x) = |x + 1| – 3

Absolute Value Functions and Translations Answers

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