Quiz about Identifying and Evaluating Exponential Functions

Question 1

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

Accepted Answer

Yes

Answer

No

Question 2

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

Accepted Answer

No

Answer

Yes

Question 3

Identify the common ratio exponential function.

Accepted Answer

5

Answer

-8

Answer

-5

Answer

2

Question 4

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

Accepted Answer

Yes

Answer

No

Question 5

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

Accepted Answer

No

Answer

Yes

Question 6

Identify the common ratio of the exponential function.

Accepted Answer

3

Answer

$$\frac{1}{3}$$

Answer

Answer

Question 7

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

Accepted Answer

No

Answer

Yes

Question 8

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

Accepted Answer

Yes

Answer

No

Question 9

Which table models an exponential function?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 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.

Accepted Answer

10.6

Answer

20

Answer

0.9

Answer

6

Question 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.

Accepted Answer

3.6

Answer

15

Answer

0.75

Answer

5

Question 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.

Accepted Answer

1.6

Answer

20

Answer

0.6

Answer

3

Question 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?

Accepted Answer

1601

Answer

160

Answer

100

Answer

1610

Question 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?

Accepted Answer

Answer

Answer

Answer

Question 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?

Accepted Answer

1.04

Answer

100

Answer

4

Answer

0.04

Question 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?

Accepted Answer

112

Answer

1.04

Answer

100

Answer

3

Question 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?

Accepted Answer

7,400,000

Answer

1.054

Answer

400,000

Answer

5.4

Question 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?

Accepted Answer

8,220,778

Answer

7,400,000

Answer

1.054

Answer

5.4

Question 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?

Accepted Answer

9700

Answer

11,600

Answer

0.88

Answer

0.93

Question 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?

Accepted Answer

8983.04

Answer

8389.53

Answer

9700

Answer

11,600

Question 21

Which of the following is an exponential function?

Accepted Answer

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

Answer

Answer

Answer

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

Question 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?

Accepted Answer

Initial Value

Answer

Growth Rate

Answer

Common Ratio

Answer

Question 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?

Accepted Answer

Growth Factor

Answer

Initial Value

Answer

y-intercept

Answer

Question 24

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

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

Accepted Answer

Initial amount

Answer

Answer

Common Ratio

Answer

Common Difference

Question 25

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

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

Accepted Answer

Common Ratio

Answer

Initial amount

Answer

Answer

Common Difference

Question 26

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

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

Accepted Answer

Answer

Initial amount

Answer

Common Ratio

Answer

Common Difference

Question 27

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

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

Accepted Answer

Growth Factor

Answer

Decay Factor

Question 28

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

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

Accepted Answer

Decay Factor

Answer

Growth Factor

Identifying and Evaluating Exponential Functions

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics