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Worksheets

Exponential Functions

Total questions: 20

Worksheet time: 19mins

Name
Class
Date
1.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
2.

What type of function is y = 7(5/4)x? What is growth/decay factor; increase/decrease rate of change?

a)

Exponential Growth; 5/4; 1/4

b)

Exponential Decay; 5/4; 1/4

c)

Exponential Growth; 1/4; 5/4

d)

Exponential Decay; 1/4; 5/4

3.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
4.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
5.
Is this exponential growth or decay?
a)
Growth
b)
Decay
6.
Given y=3determine the y-intercept 
a)
(0,1)
b)
(0,3)
c)
No Y-intercept
d)
y=1
7.

Is this exponential growth or decay? What is the growth/decay factor? what is the increase/decrease rate of change?

a)

Growth; 1/5; 4/5

b)

Decay; 1/5; 4/5

c)

Growth; 4/5; 1/5

d)

Decay; 4/5; 1/5

8.

Which does y= 2(.5)x represent? What is growth/decay factor; increase/decrease rate of change?

a)

Exponential Growth; 2; 0.5

b)

Exponential Decay; 0.5; 0.5

c)

Exponential Decay; 2; 0.5

d)

Exponential Growth; 0.5; 0.5

9.

What is the initial value of the situation represented by f(x)=0.05(2)x?

a)

0.05

b)

2

c)

0.1

d)

1

10.

What is the growth/decay factor of the situation represented by f(x)=10(0.3)x?

a)

10

b)

0.3

c)

1

d)

3

11.

Is the following function and example of growth or decay?

f(x)=2(0.85)x

What is growth/decay factor; increase/decrease rate of change?

a)

Exponential Decay; 0.85; 0.15

b)

Exponential Growth; 2; 0.85

c)

Exponential Decay; 0.15; 0.85

d)

Exponential Decay; 2, 0.85

12.

Is the following function an example of decay or growth?

f(x) = 2(1.25)x

What is growth/decay factor; increase/decrease rate of change?

a)

Exponential Growth; 1.25; 0.25

b)

Exponential Decay; 0.25; 1

c)

Exponential Growth; 0.25; 1.25

d)

Exponential Decay; 2; 1.25

13.
a)

Growth; y=0; (0,1)

b)

Decay; y=0; (0,1)

c)

Growth; x=0; (0,1)

d)

Decay; y=0; (1, 0)

14.
a)

Growth; y=-1, (0, 0)

b)

Decay; x=-1, (0, 0)

c)

Growth; x=-1, (0, 0)

d)

Decay; y=-1, (0, 0)

15.
a)

Decay; y=4; (0, 5)

b)

Decay; x=4; (0, 5)

c)

Growth; y=4; (0, 5)

d)

Growth; y=4; (5, 0)

16.
a)

Decay; y= -3; (0, 2)

b)

Decay; y= -3; (0, 3)

c)

Decay; x= -3; (0, 2)

d)

Growth; y= -3; (0, 2)

17.
a)

y>-3

b)

y>0

c)

y<5

d)

y<0

18.
a)

y>1

b)

y>2

c)

y>3

d)

y<1

19.
a)

Decay; y=0; (0,1)

b)

Decay; x=0; (0,1)

c)

Growh; y=0; (0,1)

d)

Decay; x=0; (1,0)

20.
a)

y>-4

b)

y>4

c)

y<-4

d)

y<4