Free Printable Math 3 Final Exam-Semester 2

1.

What is the horizontal asymptote?

a)

x = 2

b)

x = 7

c)

y = 2

d)

y = 7

2.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

3.

Change to Exponential Form:
log₆36 = 2

a)

2⁶=36

b)

6²=36

c)

36²=6

d)

36⁶=2

4.

Evaluate.

a)

A

b)

B

c)

C

d)

D

5.

Solve for K.

a)

3.39

b)

2.60

c)

2.58

d)

3.02

6.

What is the domain and range of the function y=2^x?
Use the graph to help!

a)

Domain: All Real Numbers
Range: y>0

b)

Domain: All Real Numbers
Range: y>1

c)

Domain: −2<x<∞
Range: y>0

d)

Domain: −∞<x<∞
Range: y>0

7.

What is the Domain?

a)

x > 0

b)

All Real Numbers

c)

x > 1

d)

x < 1

8.

Find the inverse of y=5^x-8

a)

y=log₅(x-8)

b)

y=log₅(x+8)

c)

y=log₈(x-5)

d)

y=log₈(x+5)

9.

Simplify the following expression

a)

10

b)

-10

c)

10i

d)

-10i

10.

What is the complex conjugate of 4-3i?

a)

A. 1/(4-3i)

b)

B. 1/(4+3i)

c)

C. -4 + 3i

d)

D. 4 + 3i

11.

Simplify:
i⁷

a)

i

b)

-i

c)

1

d)

-1

12.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

13.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

14.

a)

24

b)

-6

c)

32

d)

36

15.

Which of the following is the graph of $y=\left(x-2\right)^3-4$

a)

b)

c)

d)

16.

The graph of $y=x^3$ is graphed in blue. Which of the following equations could be equation of the function graphed in red?

a)

$y=-5\left(x+2\right)^3-1$

b)

$y=5\left(x+2\right)^3-1$

c)

$y=-\frac{1}{5}\left(x+2\right)^3-1$

d)

$y=\frac{1}{5}\left(x+2\right)^3-1$

17.

What is the measure of side b?

a)

5

b)

$\frac{10}{\sqrt{2}}$

c)

$5\sqrt{2}$

d)

$10\sqrt{3}$

18.

What does it mean to find the inverse of a function?

a)

the x's and y's are switched

b)

the x's and y's are divided by 2

c)

the x's and y's are made negative

d)

the x's and y's are the same

19.

a)

9 - √17

b)

4

c)

2

d)

√8

20.

Find the inverse of f(x) = x² - 5

a)

f^-1(x) = √(x) + 5

b)

f^-1(x) = ∛(x-5)

c)

f^-1(x) = ±√(x+5)

d)

f^-1(x) = x² - 5

Math 3 Final Exam-Semester 2

Total questions: 20

Worksheet time: 3hrs 20mins

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