Free Printable Inverse Functions and Unit 4 Test Review

1.

This equation would be used to write the:

a)

Arithmetic Recursive Equation

b)

Geometric Recursive Equation

c)

Arithmetic Explicit Equation

d)

Geometric Explicit Equation

e)

Partial Sum of a Geometric Series

2.

This equation would be used to write the:

a)

Arithmetic Recursive Equation

b)

Geometric Recursive Equation

c)

Arithmetic Explicit Equation

d)

Geometric Explicit Equation

e)

Partial Sum of a Geometric Series

3.

This equation would be used to find the:

a)

Arithmetic Recursive Equation

b)

Geometric Recursive Equation

c)

Arithmetic Explicit Equation

d)

Geometric Explicit Equation

e)

Partial Sum of a Geometric Series

4.

$f\left(n\right)=-n^3+2$
Find the inverse of the function.

a)

$f^{-1}\left(n\right)=\left(n+1\right)^5$

b)

$f^{-1}\left(n\right)=^3\sqrt{-n+2}$

c)

$f^{-1}\left(n\right)=2n^5$

d)

$f^{-1}\left(n\right)=\left(n+3\right)^5$

5.

FInd the inverse of the function.
$f\left(x\right)=\frac{3x-15}{2}$

a)

$f^{-1}\left(x\right)=-x-5$

b)

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

c)

$f^{-1}\left(x\right)=\frac{15+2x}{3}$

d)

$f^{-1}\left(x\right)=\frac{2}{3}x-\frac{19}{3}$

6.

Find the inverse of the function.
$f\left(n\right)=-4-\frac{2}{5}n$

a)

$f^{-1}\left(n\right)=\frac{-6-5n}{2}$

b)

$f^{-1}\left(n\right)=3n-4$

c)

$f^{-1}\left(n\right)=-\frac{5}{2}n-10$

d)

$f^{-1}\left(n\right)=\frac{-2n-4}{5}$

7.

$h\left(x\right)=-\frac{2}{x-1}-3$
Find the inverse of the function.

a)

$h^{-1}\left(x\right)=\frac{2}{-x-3}+1$

b)

$h^{-1}\left(x\right)=-\frac{2}{x+2}-1$

c)

$h^{-1}\left(x\right)=\frac{2}{-x+3}$

d)

$h^{-1}\left(x\right)=\frac{3}{-x-3}-2$

8.

A graph and its inverse are always symmetrical about the line...

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

9.

Are these functions inverses?

a)

No

b)

Yes

c)

No way to tell

10.

Are these the graphs of two inverse functions?

a)

Yes

b)

No

c)

No way to tell

11.

What is the transformation?

a)

Vertical Translation up 2 and Horizontal translation right 1

b)

Vertical Translation down 2 and Horizontal Translation left 1

c)

Horizontal Translation left 2 and Vertical Translation up 1

d)

Horizontal Translation right 2 and Vertical Translation down 1

12.

What is the transformation?

a)

Vertical Translation up 2

b)

Vertical Translation down 2

c)

Horizontal Translation left 2

d)

Horizontal Translation right 2

13.

What is the transformation?

a)

Horizontal Translation left 2

b)

Vertical Translation down 2

c)

None

d)

Reflection across the HA

14.

Mrs. Halffman deposited $10,000 in her daughter Zoe’s college account, when she was born (year 0). On her 18^th birthday, Zoe had $18,574.89.

What percent did the college fund grow at?

a)

18%

b)

1.8%

c)

35%

d)

3.5%

15.

Sam bought a truck for $36,000 in 2015. The value of the car is worth $22,500 in 2019. Use the exponential model $y=a\cdot b^x$ to find the percent decrease.

a)

88.9%

b)

11.1%

c)

14.5%

d)

85.5%

16.

Write the explicit equation that models this sequence:
109, 97, 85, 73.
Note: 109 is the first term.

a)

$f\left(n\right)=109\cdot12^n$

b)

$f\left(n\right)=-12n\ +109$

c)

$f\left(n\right)=121\cdot12^n$

d)

$f\left(n\right)=-12n+121$

Inverse Functions and Unit 4 Test Review

Total questions: 16

Worksheet time: 10mins

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