The Cube Root Function

Question 1

Which ordered pairs represent points on the graph of f(x)= Negative RootIndex 3 StartRoot x EndRoot ? Check all that apply.(–2, 2)(–1, –1)(0, 0)(1, –1)(6, –2)(8, –2)

Revolt · Accepted Answer

(0, 0); (1, –1); (8, –2)

Question 2

The pointis on the graph of g(x).

Revolt · Accepted Answer

(8, –1)

Question 3

How can the graph of f(x) = be transformed to represent the function g(x) = – 3?

Revolt · Accepted Answer

Translate the graph of f(x)3 units.: down; The pointis on the graph of g(x).: (8, –1)

Question 4

(–8, –1)(–1, –2)(2, –1)✔ (8, –1)

Revolt · Accepted Answer

✔ (8, –1)

Question 5

Determine the values of h and k in the equation of g(x).

Revolt · Accepted Answer

h: -3; k: -2

Question 6

k =[___]

Revolt · Accepted Answer

-2

Question 7

How can the graph of f(x) = be transformed to represent the function g(x) = – 3?

Revolt · Accepted Answer

✔ down; Translate the graph of f(x)3 units.: down

Question 8

The graph of f(x) = RootIndex 3 StartRoot x EndRoot is shown with g(x). Which equation represents the graph of g(x)?

Revolt · Accepted Answer

g(x) =

Question 9

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

Revolt · Accepted Answer

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

Question 10

Which statements are true of the graph of h(x) = RootIndex 3 StartRoot x minus 4 EndRoot ? 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 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).

The Cube Root Function Answers

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