2 HW Graphing square root and cube root functions.pdf

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Common Core 2

Name___________________________________

Graphing Square and Cube Root Functions ©y Y2e0o1G3y YKbu1tnaF rSQotf7tOwhaer8eg yLjLdCY.S y 2AWlOlS ur0iJg5hBt2sv vraeks2e4rRvue7dG.O

Identify the domain and range of each. Then sketch the graph. 1) y =

x+4

3) y = 3 +

2) y = − x − 3

x+3

4) y = − x − 1 − 3

5) y =

x

6) y =

x−2 +1

7) y =

x−1

8) y =

x−2 +2

10) y =

x +4

9) y = 3 +

x−2

12) y =

3

x−3

x

14) y =

3

x+4

x+3

16) y =

x+3 −1

18) y =

x +5

20) y = 2 x − 4

11) y = −5 +

13) y =

15) y =

17) y =

19) y =

3

3

3

3

3

x

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3

3

x−2 −3

64 x

3

Worksheet by Kuta Software LLC

Answers to Graphing Square and Cube Root Functions 1) 8

2)

y

Domain: x ≥ −4 Range: y ≥ 0

6

−8 −6 −4 −2

4

2

2 2

−2

4

6

8 x

−4 −6

−8

−8

4)

y

Domain: x ≥ −3 Range: y ≥ 3

4 2 2

4

6

8 x

−4 −6

−8

−8

6)

y

Domain: x ≥ 0 Range: y ≥ 0

8 4

2

2 2

4

6

8 x

−8 −6 −4 −2

−4

−6

−6

−8

−8

8

8)

y

Domain: x ≥ 1 Range: y ≥ 0

6

8 4

2

2 2

4

6

8 x

−8 −6 −4 −2

−4

−6

−6

−8

−8

8

Domain: x ≥ 2 Range: y ≥ 3

6

8

2 6

8 x

−8 −6 −4 −2

−2

−4

−4

−6

−6

−8

−8

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8 x

4

6

8 x

y

Domain: x ≥ 0 Range: y ≥ 4

6 4

4

6

Domain: x ≥ 2 Range: y ≥ 2

2

2 2

4

y

4

−2

8 x

Domain: x ≥ 2 Range: y ≥ 1

2

10)

y

6

y

−2

−4

9)

4

6

4

−2

Domain: x ≥ 1 Range: y ≤ −3

2

−2

−4

7)

8 x

6

4

−2

6

y

−2

−6

6

−8 −6 −4 −2

−8 −6 −4 −2

−4

8

4

6

2

5)

−8 −6 −4 −2

8

4

−2

Domain: x ≥ 0 Range: y ≤ −3

2

−2

−6

6

−8 −6 −4 −2

−8 −6 −4 −2

−4

8

y

6

4

3)

−8 −6 −4 −2

8

2

4

6

8 x

Worksheet by Kuta Software LLC

11) 8

12)

y

Domain: { All real numbers. } Range: { All real numbers. }

6

−8 −6 −4 −2

4

2

2 2

−2

4

6

8 x

−4 −6

−8

−8

14)

y

Domain: { All real numbers. } Range: { All real numbers. }

4 2 2

4

6

8 x

−4 −6

−8

−8

16) Domain: { All real numbers. } Range: { All real numbers. }

6

8 4

2

2 2

4

6

8 x

−8 −6 −4 −2

−4

−6

−6

−8

−8

8

18)

y

Domain: { All real numbers. } Range: { All real numbers. }

6

8 4

2

2 2

4

6

8 x

−8 −6 −4 −2

−4

−6

−6

−8

−8

8

20)

y

Domain: { All real numbers. } Range: { All real numbers. }

6

8 4

2

2 2

4

6

8 x

−8 −6 −4 −2

−2

−4

−4

−6

−6

−8

−8

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8 x

Domain: { All real numbers. } Range: { All real numbers. }

2

4

6

8 x

y

Domain: { All real numbers. } Range: { All real numbers. }

2

4

6

8 x

y

Domain: { All real numbers. } Range: { All real numbers. }

6

4

−2

6

y

−2

−4

19)

4

6

4

−2

Domain: { All real numbers. } Range: { All real numbers. }

2

−2

−4

17)

8 x

6

4

−2

6

y

−2

−6

8

−8 −6 −4 −2

−8 −6 −4 −2

−4

y

4

6

2

15)

−8 −6 −4 −2

8

4

−2

Domain: { All real numbers. } Range: { All real numbers. }

2

−2

−6

6

−8 −6 −4 −2

−8 −6 −4 −2

−4

8

y

6

4

13)

−8 −6 −4 −2

8

2

4

6

8 x

Worksheet by Kuta Software LLC