Unit 2 Check for Understanding

Which graph shows the parent function, p, of the function below? h(x) = 3 |x + 3|

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Which of the following shows the domain and range of f(x) = 2|x| ?

(HINT: Type it into your graphing calculator to see the graph)

• Domain: {0 ≤ x < ∞}, Range: {All real numbers}

• Domain: {All real numbers}, Range: {All real numbers}

• Domain: {0 ≤ x < ∞}, Range: {0 ≤ y < ∞}

• Domain: {All real numbers}, Range: {0 ≤ y < ∞}

Assume f(x) = |x|. The function f(x - h), where h = 4, is shown on the coordinate grid below. What effect did subtracting h have on the graph of f(x)?

• 4 units to the right

• 4 units to the left

• 4 units up

• 4 units down

The graph of f(x) = |x| is shown. Which graph represents -3f(x)?

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The function g(x) = 8 |x - 15| - 30 is a transformation of the parent function p(x) = |x|. Which of the following correctly describes the transformation of function p that generates function g?

• p is translated 15 units right, then has a vertical stretch(narrow) by a factor of 8, and then is translated 30 units down.

• p is translated 15 units left, then has a vertical stretch(narrow) by a factor of 8, and then is translated 30 units up.

• p is translated 30 units down, then has a vertical shrink(wider) by a factor of 8, and then is translated 15 units right.

• p has a vertical shrink(wider) by a factor of 8, then is translated 15 units down, and then is translated 30 units left.

What is the range of the function below? f(x) = |x| - 3

• (∞, -3)

• (-3, ∞)

• [-3, ∞)

• (∞, -3]

What is the negative value of x for the equation |4x + 6| = 2x + 27?

• -5.5

• -3

• -7

• -4.5

What positive value of x makes the equation |8 - 2x| = 16 true?

• 12

• 4

• 8

• 10

• 4

• 7

• {2, 4}

• {-1, 7}

What is the solution set of the equation 4-2|3x - 5| = 8 ?

• All Solutions

• 1

• No Solution