If $$f(x) = x^3$$ and $$g(x) = \sqrt[3]{x}$$ , which statement is true?

$$f(x)$$ and $$g(x)$$ are inverse functions.

$$f(x)$$ and $$g(x)$$ are not inverse functions.

$$f(x)$$ is the derivative of $$g(x)$$ .

$$g(x)$$ is the derivative of $$f(x)$$ .

If $$f(x) = 3x^3$$ and $$g(x) = \sqrt[3]{x/3}$$ , which statement is true?

$$f(x)$$ and $$g(x)$$ are inverse functions.

$$f(x)$$ and $$g(x)$$ are not inverse functions because of the coefficient 3.

$$f(x)$$ is the derivative of $$g(x)$$ .

$$g(x)$$ is the derivative of $$f(x)$$ .

If $$f(x) = x^3 + 1$$ and $$g(x) = \sqrt[3]{x-1}$$ , which statement is true?

$$f(x)$$ and $$g(x)$$ are inverse functions.

$$f(x)$$ and $$g(x)$$ are not inverse functions because of the constant term.

$$f(x)$$ is the derivative of $$g(x)$$ .

$$g(x)$$ is the derivative of $$f(x)$$ .

If $$f(x) = 2x^3 - 3$$ and $$g(x) = \sqrt[3]{(x+3)/2}$$ , which statement is true?

$$f(x)$$ and $$g(x)$$ are inverse functions.

$$f(x)$$ and $$g(x)$$ are not inverse functions because of the coefficient and constant term.

$$f(x)$$ is the derivative of $$g(x)$$ .

$$g(x)$$ is the derivative of $$f(x)$$ .

Cube & Cube Root Functions Quiz

Authored by Juan Anton

Mathematics

12th Grade

CCSS covered

Used 4+ times

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MULTIPLE CHOICE QUESTION

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What is the parent function of a cubic function?

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CCSS.HSF-BF.B.4A

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CCSS.HSF.LE.A.4

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CCSS.8.EE.A.2

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CCSS.HSF-BF.B.4B

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