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Intro to Exponential Functions

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

Describe the function:

a)

exponential growth

b)

exponential decay

2.

Describe the function:

a)

exponential growth

b)

exponential decay

3.

Which function has the greatest y-intercept?

a)

y=34xy=3\cdot4^x

b)

y=43xy=4\cdot3^x

c)

y=15xy=1\cdot5^x

d)

y=52xy=5\cdot2^x

4.

Which function has the greatest common ratio?

a)

y=34xy=3\cdot4^x

b)

y=43xy=4\cdot3^x

c)

y=15xy=1\cdot5^x

d)

y=52xy=5\cdot2^x

5.

What type of function is  y=7(1.54)xy=7\left(1.54\right)^x ?

a)

Exponential Growth

b)

Exponential Decay

6.

What type of function is  y=2(.85)xy=2\left(.85\right)^x 

a)

Exponential Decay

b)

Exponential Growth

7.

Identify the y-intercept (initial value) in the function y=13(.27)x

a)

0

b)

.27

c)

13

d)

3.51

8.

What is the asymptote of this function?  y=4(.58)xy=4\left(.58\right)^x  

a)

 y=4y=4 

b)

y=0y=0

c)

 y=.58y=.58 

d)

 y=1y=1  

9.

What is the range of f(x) = 2(5)x?

a)

y < 2

b)

y < 0

c)

y > 2

d)

y > 0

10.

Identify the common ratio (multiplier) of the function f(x)=2(4)x.

a)

2

b)

4

c)

1

d)

8

11.

What is the common ratio of the function f(x)=10(0.3)x?

a)

10

b)

0.3

c)

1

d)

3

12.

What is the domain of f(x) = 2(5)x?

a)

x < 2

b)

x < 0

c)

x > 5

d)

all real numbers