Free Printable Review For Final Exam 2022

1.

Write the equation of this graph

a)

y = ^_(x + 2)(x - 1)²

b)

y = -(x - 2)(x + 1)²

c)

y = (x - 2)(x + 1)²

d)

y = -x³

2.

Based on the end behavior which option best describes the leading term?

a)

negative coefficient, even degree

b)

negative coefficient, odd degree

c)

negative degree, odd coefficient

d)

negative degree, even coefficient

3.

What does this tell me?

a)

-2 is not a solution of the function

b)

-2 is a solution of the function

c)

(x+2) is a factor of the function

d)

(x-2) is a factor of the function

4.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

a)

±1, ±7, ±1/3, ±7/3

b)

±1, 7

c)

±1, ±3, ±7, ±7/3

d)

±1, ±3, ±7, ±1/3, ±7/3

5.

Convert

6^3=216

to logarithmic form

a)

$\log_{216}6=3$

b)

$\log_3216=6$

c)

$\log_6216=3$

d)

$\log_36=216$

6.

Evaluate

\log_416

a)

2

b)

1/2

c)

8

d)

16

e)

4

7.

Write the logarithm expression as a single logarithm

2log 4 + log 2

a)

log 8

b)

log 16

c)

log 32

d)

log 8²

8.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

9.

Solve

\log_5\left(2x-1\right)=\log_5\left(4x-5\right)

a)

0

b)

2

c)

1

d)

3

10.

Simplify
4^-2

a)

1/16

b)

16

c)

1/4^-2

d)

8

11.

Which expression is equivalent to ∜x

a)

x ^1/4

b)

x^-1/4

c)

x⁴

d)

x^-4

12.

ln x has a base of ____

a)

1

b)

e

c)

0

d)

10

13.

7⁰

a)

1

b)

7

c)

0

d)

-7

14.

log₃3⁴

a)

3

b)

4

c)

1

d)

0

15.

Solve:
16^x-3 = 8^x-3

a)

9

b)

-3

c)

0

d)

3

16.

What type of equation is $y=3^x+2$

a)

Linear

b)

Quadratice

c)

Exponential

d)

Radical

17.

What type of function is shown?

a)

square root

b)

cube root

c)

quadratic

d)

rational

18.

What is the equation of the graph?

a)

$y=-\sqrt{x}+3$

b)

$y=\sqrt{x}+3$

c)

$y=\sqrt{x-3}$

d)

$y=-\sqrt{x+5}$

19.

Which of these equations shifts a radical equation left 5 times and down once?

a)

$y=\sqrt{x+5}-1$

b)

$y=\sqrt{x-5}-1$

c)

$y=\sqrt{x-5}+1$

d)

$y=\sqrt{x+5}+1$

20.

Find the inverse of

f(x) = 1/3x - 7

a)

f^-1(x) = 3x + 21

b)

f^-1(x) = -3x + 21

c)

f^-1(x) = -3x - 7

d)

f^-1(x) = 3x + 7

21.

What kind of function is represented by the graph?

a)

Cube Root Function

b)

Quadratic Function

c)

Absolute Value Function

d)

Square Root Function

22.

Solve for x.

a)

x = -75

b)

x = 75

c)

x = -175

d)

x = 175

23.

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

24.

What type of a function is this?

a)

Linear

b)

Absolute Value

c)

Quadratic

d)

Cube Root

e)

Square Root

25.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

26.

$x^3\cdot x^4$

a)

$x^{12}$

b)

$x^7$

c)

$x$

d)

$x^{49}$

27.

Simplify

\frac{20x^2}{5x+10}

a)

$\frac{4x^3}{x+2}$

b)

$\frac{4x^2}{x+2}$

c)

$2x^2$

d)

D. $\frac{2x^2}{x+5}$

28.

When solving this equation, what would the EXCLUDED VALUES be?

a)

-3

b)

5 and -2

c)

5

d)

-2

29.

What is the equation of the VERTICAL ASYMPTOTE of this graph?

a)

x = -2

b)

y = -2

c)

x = -1

d)

y = -1

30.

What is the equation of the rational function graphed?

a)

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

b)

$f\left(x\right)=\frac{1}{x+2}$

c)

$f\left(x\right)=\frac{1}{x}+2$

d)

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

Review For Final Exam 2022

Total questions: 30

Worksheet time: 1hrs 16mins

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