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Exponential and Log Functions

Total questions: 14

Worksheet time: 58mins

Name
Class
Date
1.

What is the domain of y=2x?

a)

x>0

b)

x=all real numbers

c)

y>0

d)

y=all real numbers

2.

What is the range of y=2x?

a)

x>0

b)

x=all real numbers

c)

y>0

d)

y=all real numbers

3.

Where is the asymptote of y=2x?

a)

y=0

b)

x=0

c)

y=2

d)

There isn't one

4.

Your parents deposited $2000 when you were born in an account that pays 3% interest and is compounded monthly. How much will you have on your 20th birthday?

a)

$41216.64

b)

$3644.24

c)

6257.12

d)

$3641.51

5.

You deposit $5500 in an account that is compounded continuously at 1.5%, how much will you have in 7 years?

a)

$6108.91

b)

$15717.08

c)

$39081.85

d)

$6104.15

6.

Solve for x: log3x=log39

a)

x=3

b)

log 9

c)

x=9

d)

3x

7.

Solve for x: log55=x

a)

x=5

b)

x=1

c)

log 5

d)

x=27

8.

Evaluate: loga(1/a)

a)

1

b)

-2

c)

3

d)

-1

9.

Evaluate: ln e2x

a)

e

b)

ln x

c)

2x

d)

2

10.

Evaluate: log31

a)

1

b)

0

c)

3

d)

e

11.

Evaluate: logaa-8

a)

a

b)

5

c)

-8

d)

3

12.

How are exponential and log functions related?

a)

They are cousins

b)

They are siblings

c)

They are married

d)

They are inverses

13.

How does the graph of y=log (x-2) shift?

a)

right 2

b)

left 2

c)

up 2

d)

down 2

14.

Where is the asymptote for y=log (x-2)?

a)

y=2

b)

y=-2

c)

x=2

d)

x=-2