The Cube Root Function

Question 1

Which is the graph of f(x) = ?

Revolt · Accepted Answer

[Image: On a coordinate plane, a cube root function goes t...]

Question 2

Which ordered pairs represent points on the graph of f(x)= ? Check all that apply.

Revolt · Accepted Answer

(0, 0); (1, –1); (8, –2)

Question 3

How can the graph of f(x) = be transformed to represent the function g(x) = – 3? Translate the graph of f(x)3 units. The pointis on the graph of g(x).

Revolt · Accepted Answer

down; Selection 1: down

Question 4

Which is the graph of y = + 3?

Revolt · Accepted Answer

[Image: On a coordinate plane, a cube root function goes t...]

Question 5

Which describes how to graph h(x)= – + 3 using transformations of the parent function?

Revolt · Accepted Answer

Reflect over the horizontal axis, and then translate the graph up 3 units.

Question 6

Determine the values of h and k in the equation of g(x). g(x) = + k h = ⇒ 1 k =

Revolt · Accepted Answer

⇒ 1: 77182; Part 2: -2

Question 7

Which statements are true of the graph of h(x) = [image 1] ? Check all that apply.The domain of h(x) is the set of all real numbers.The range of h(x) is the set of all real numbers.For all points (x, h(x)), h(x) exists if and only if x – 4 [image 2] 0.The graph of h(x) is a translation of f(x) down 4 units.The graph of h(x) intercepts the x-axis at (4, 0).

Revolt · Accepted Answer

The domain of h(x) is the set of all real numbers.; The range of h(x) is the set of all real numbers.; The graph of h(x) intercepts the x-axis at (4, 0).

Question 8

Which equation describes the relationship of the graphs of f(x) and g(x)?

Revolt · Accepted Answer

g(x) = f(x) + 1

The Cube Root Function Answers

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