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Graphing Radicals and finding Inverses

Total questions: 12

Worksheet time: 15mins

Name
Class
Date
1.
What function best describes this graph?
a)
f(x)= -√(x+4) -2
b)
f(x)= √(x-4) -2
c)
f(x)= -√(x-4) -2
d)
f(x)= √(x+4) +2
2.

Which function matches the graph?

a)

A

f(x) = ∛(x + 3) + 2

b)

B

f(x) = − ∛(x - 3) + 2

c)

C

f(x) = ∛(x - 3) + 2

d)

D

f(x) = ∛(x - 2) + 3

3.

Which function matches the graph?

a)

A

f(x) = − ∛(x + 3) − 1

b)

B

f(x) = − ∛(x - 3) − 1

c)

C

f(x) = ∛(x + 3) − 1

d)

D

f(x) = ∛(x - 1) + 3

4.
What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)
a)
(1, 2) (3, 8) (-3, 6)
b)
(1, 2) (8, 3) (-3, 6)
c)
(-1, -2) (-3, -8) (3, -6)
d)
(2, 1) (8, 3) (6, -3)
5.
Are these functions inverses?
a)
Yes
b)
No
6.

When solving for an inverse you must...

(select all that apply)

a)

Switch the x and y

b)

Solve for x

c)

Draw a graph

d)

solve for y

7.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)

f-1(x) = −14x−3-\frac{1}{4}x-3  

c)

f-1(x) =

d)
f-1(x) = -4x - 3
8.
The inverse of the function f(x) is written as ...
a)
f -1(x)
b)
f 2(x)
c)
f '(x)
d)
f +(x)
9.

What's the best description?

a)

They are both functions, but not inverse functions.

b)

They are reflected over y=x, but they are not both functions.

c)

They are not reflected over y=x, and they are not both functions.

d)

They are inverse functions.

10.

Find the inverse of  f(x)=x−2f\left(x\right)=\sqrt{x-2}  

a)

 f−1(x)=x2−2f^{-1}\left(x\right)=x^2-2  

b)

 f−1(x)=x2+2f^{-1}\left(x\right)=x^2+2  

c)

 f−1(x)=(x+2)2f^{-1}\left(x\right)=\left(x+2\right)^2  

d)

 f−1(x)=(x−2)2f^{-1}\left(x\right)=\left(x-2\right)^2  

11.

Find the inverse of  f(x)=x+8f\left(x\right)=\sqrt{x}+8  

a)

 f−1(x)=x2+8f^{-1}\left(x\right)=x^2+8  

b)

 f−1(x)=x2−8f^{-1}\left(x\right)=x^2-8  

c)

 f−1(x)=(x+8)2f^{-1}\left(x\right)=\left(x+8\right)^2  

d)

 f−1(x)=(x−8)2f^{-1}\left(x\right)=\left(x-8\right)^2  

12.

 (x+1)3−2\left(x+1\right)^3-2  Find the inverse of

a)

 (x−1)13+2\left(x-1\right)^{\frac{1}{3}}+2  

b)

 (x+1)13−2\left(x+1\right)^{\frac{1}{3}}-2  

c)

 (x+2)13−1\left(x+2\right)^{\frac{1}{3}}-1  

d)

 (x−2)13+1\left(x-2\right)^{\frac{1}{3}}+1