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Review Part I Square and Cube Root Functions

Total questions: 9

Worksheet time: 25mins

Name
Class
Date
1.
a)
b)
c)
d)
2.
a)

x=4 and x=-1

b)

x=4 and x=-1 is extraneous

c)

x=4 is extraneous and x=1

d)

x=-4 and x=-1

3.
a)

17a5/7

b)

17a1/5

c)

17a7/5

d)

17a1/7

4.
a)

reflection over y, vertical compression by 2, shift right 5, up 7

b)

reflection over x, horizontal compression by 1/2, shift right 5, shift up 7

c)

reflection over x, vertical stretch by 2, shift left 2, down 7

d)

reflection over x, vertical stretch by 2, shift right 5, up 7

5.
a)

x=1/5

b)

x=5

c)

x=0

d)

x=-5

6.
a)

r=5

b)

r=-5

c)

r=15

d)

r=1.5

7.
a)

Domain [-5, \infty ) and Range [0, \infty )

b)

Domain [0, \infty ) and Range [-5, \infty )

8.
a)

w=3.339

b)

w=3.4

c)

w=3.8

d)

w=3.839

9.
a)

123(x+4)\frac{1}{2}^3\sqrt{-\left(x+4\right)}

b)

23(x+4)2^3\sqrt{-\left(x+4\right)}

c)

312(x+4)-^3\sqrt{\frac{1}{2}\left(x+4\right)}

d)

32(x4)-^3\sqrt{2\left(x-4\right)}