Cubic and Cube Roots as Inverses

Cubic and Cube Roots as Inverses

10th Grade

13 Qs

quiz-placeholder

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Cubic and Cube Roots as Inverses

Cubic and Cube Roots as Inverses

Assessment

Quiz

Mathematics

10th Grade

Medium

CCSS
HSF-BF.B.4A, HSF-BF.B.4B, HSF.BF.B.3

+10

Standards-aligned

Created by

Shelley Kukulski

Used 90+ times

FREE Resource

13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What is the inverse of the function?

f1(x)= (x93)3f^{-1}\left(x\right)=\ \left(\frac{x-9}{3}\right)^3

f1(x)= (x39)3f^{-1}\left(x\right)=\ \left(\frac{x-3}{9}\right)^3

f1(x)=3x93f^{-1}\left(x\right)=^3\sqrt{\frac{x-9}{3}}

f1(x)=3x9+3f^{-1}\left(x\right)=^3\sqrt{x-9}+3

Tags

CCSS.HSF-BF.B.4A

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What is the inverse of the given function?

f1(x)=32x+12f^{-1}\left(x\right)=^3\sqrt{-2x+12}

f1(x)=32x+12f^{-1}\left(x\right)=^3\sqrt{-2x}+12

f1(x)=(2x+12)3f^{-1}\left(x\right)=\left(-2x+12\right)^3

f1(x)=(2x12)3+12f^{-1}\left(x\right)=\left(2x-12\right)^3+12

Tags

CCSS.HSF-BF.B.4A

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What is the inverse of the given function?

f1(x)=35x+54f^{-1}\left(x\right)=^3\sqrt{5x+5}-4

f1(x)=35x+1f^{-1}\left(x\right)=^3\sqrt{5x+1}

f1(x)=35x+9f^{-1}\left(x\right)=^3\sqrt{5x+9}

f1(x)=35x4+5f^{-1}\left(x\right)=^3\sqrt{5x-4}+5

Tags

CCSS.HSF-BF.B.4A

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What is the inverse of the given function?

f1(x)=(x3)3+9f^{-1}\left(x\right)=-\left(x-3\right)^3+9

f1(x)=(x3)39f^{-1}\left(x\right)=\left(x-3\right)^3-9

f1(x)=(x9)3+3f^{-1}\left(x\right)=-\left(x-9\right)^3+3

f1(x)=(x+9)33f^{-1}\left(x\right)=-\left(x+9\right)^3-3

Tags

CCSS.HSF-BF.B.4A

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Are the two functions inverses of each other?

yes

no

Tags

CCSS.HSF-BF.B.4B

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Are these two functions inverses of each other?

yes

no

Tags

CCSS.HSF-BF.B.4B

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image
Identify the Transformations. 
Vertical stretch by 2 and down 4
Horizontal compression by ½ and down 4
Vertical stretch by 2 and up 4
Horizontal compression by ½ and right 4

Tags

CCSS.HSF.BF.B.3

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