Free Printable Exponential Function Evaluating

1.

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

a)

Yes

b)

No

2.

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

a)

No

b)

Yes

3.

Identify the common ratio exponential function.

a)

-8

b)

5

c)

-5

d)

2

4.

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

a)

Yes

b)

No

5.

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

a)

No

b)

Yes

6.

Identify the common ratio of the exponential function.

a)

3

b)

$\frac{1}{3}$

c)

8

d)

4

7.

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

a)

No

b)

Yes

8.

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

a)

Yes

b)

No

9.

Which table models an exponential function?

a)

b)

c)

d)

10.

If a superball is bounced from a height of 20 feet, the function f(x) = 20(0.9)^x gives the height of the ball in feet of each bounce, where x is the bounce number. What will be the height of the 6th bounce? Round to the nearest tenth.

a)

20

b)

0.9

c)

6

d)

10.6

11.

If a basketball is bounced from a height of 15 feet, the function f(x) = 15(0.75)^xgives the height of the ball in feet of each bounce, where x is the bounce number. What will be the height of the 5th bounce? Round to the nearest tenth.

a)

3.6

b)

15

c)

0.75

d)

5

12.

If a rubber ball is dropped from a height of 20 feet, the function f(x) = 20(0.6)^xgives the height in feet of each bounce, where x is the bounce number. What will be the height of the 5th bounce? Round to the nearest tenth.

a)

20

b)

0.6

c)

3

d)

1.6

13.

A population of pigs is expected to increase at a rate of 4% each year. If the original population is 1000, the function f(x) = 1000(1.04)^x gives the population in x years. What will be the population in 12 years?

a)

160

b)

100

c)

1601

d)

1610

14.

The population of a city is represented by the equation

P=2000\left(2\right)^t

. What was the initial population of the city?

a)

4000

b)

2000

c)

1000

d)

2

15.

In the absence of predators, the natural growth rate of rabbits is 4% per year. A population begins with 100 rabbits. The function f(x) = 100(1.04)^xgives the population of rabbits in x years. What is the growth factor?

a)

1.04

b)

100

c)

4

d)

0.04

16.

In the absence of predators, the natural growth rate of rabbits is 4% per year. A population begins with 100 rabbits. The function f(x) = 100(1.04)^xgives the population of rabbits in x years. What is the population of rabbits after 3 years?

a)

1.04

b)

100

c)

3

d)

112

17.

In the year 2000, the population of Virginia was about 7,400,000. The population in Virginia grew at a rate of 5.4%. At this growth rate, the function f(x) = 7,400,000(1.054)^x gives the population x years after 2000. What is the initial population in Virginia?

a)

7,400,000

b)

1.054

c)

400,000

d)

5.4

18.

In the year 2000, the population of Virginia was about 7,400,000. The population in Virginia grew at a rate of 5.4%. At this growth rate, the function f(x) = 7,400,000(1.054)^x gives the population x years after 2000. What is the population in Virginia after 2 years?

a)

7,400,000

b)

1.054

c)

8,220,778

d)

5.4

19.

The domestic car was purchased for $11,600. The foreign car was purchased for $9700. The functions in the table represent the value of each car x years from now due to depreciation. What was the initial value of the foreign car?

a)

11,600

b)

0.88

c)

9700

d)

0.93

20.

The domestic car was purchased for $11,600. The foreign car was purchased for $9700. The functions in the table represent the value of each car x years from now due to depreciation. How much is the domestic car worth 2 years from now?

a)

8983.04

b)

8389.53

c)

9700

d)

11,600

21.

Which of the following is an exponential function?

a)

$y=3x^4$

b)

$y=3\left(4\right)^x$

c)

$y=3x+4$

d)

$y=\frac{x}{3}$

22.

The population of a bacteria colony after t hours can be modeled by the function

f\left(x\right)=32\left(1.25\right)^t

. What do the number 32 represent in the context of this situation?

a)

Initial Value

b)

Growth Rate

c)

Common Ratio

d)

Time

23.

The population of a bacteria colony after t hours can be modeled by the function

f\left(x\right)=32\left(1.25\right)^t

. What do the number 1.25 represent in the context of this situation?

a)

Initial Value

b)

y-intercept

c)

Growth Factor

d)

Time

24.

Given the general form of an exponential function, what does the "a" represent?

y=a\left(b\right)^x

a)

Initial amount

b)

Time

c)

Common Ratio

d)

Common Difference

25.

Given the general form of an exponential function, what does the "b" represent?

y=a\left(b\right)^x

a)

Initial amount

b)

Time

c)

Common Ratio

d)

Common Difference

26.

Given the general form of an exponential function, what does the "x" represent?

y=a\left(b\right)^x

a)

Initial amount

b)

Time

c)

Common Ratio

d)

Common Difference

27.

Does the following exponential function have a growth factor or decay factor?

f\left(x\right)=45\left(1.04\right)^x

a)

Growth Factor

b)

Decay Factor

28.

Does the following exponential function have growth factor or decay factor?

f\left(x\right)=45\left(0.95\right)^x

a)

Growth Factor

b)

Decay Factor

Exponential Function Evaluating

Total questions: 28

Worksheet time: 44mins

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