Quiz about Exponential Functions Average Rate of Change

Question 1

What is the average rate of change between when x = -1 and x = 0?

Accepted Answer

-2

Answer

2

Answer

1/2

Answer

-1/2

Question 2

James bought a car worth $22,000 that loses 10% of its value every year. The value of the car after x years can be modeled by the function f(x) = 22,000(.9)^x.

What is the average rate of change between 0 and 4 years?

Accepted Answer

$-1,891.45/year

Answer

$-1,100/year

Answer

$-1521.12/year

Answer

$-1,776/year

Question 3

Iris founded a new town, Iristown. The population of Iristown after x years can be modeled by the function p(x) = 1500(1.1)^x. On average, how fast is the population increasing between years 0 and 10?

Accepted Answer

239.06 people/year

Answer

212.12 people/year

Answer

251.11 people/year

Answer

391.29 people/year

Question 4

What is the average rate of change over the interval [0,3]?

Accepted Answer

21

Answer

-21

Answer

1/21

Answer

-1/21

Question 5

What is the average rate of change between x = 1 and x = 2?

Accepted Answer

12

Answer

9

Answer

10

Answer

11

Question 6

What is the average rate of change of the graph over the interval [-2,0]?

Accepted Answer

-3/2

Answer

2/3

Answer

3/2

Answer

-2/3

Question 7

Find the average rate of change over the given interval [-1, 1].

Accepted Answer

1.5

Answer

3

Answer

1

Answer

0.67

Question 8

Find the average rate of change over the given interval [1, 2].

Accepted Answer

-2

Answer

2

Answer

-1

Answer

-0.5

Question 9

What is the average rate of change of y = 2(3)^x at [2, 4]?

Accepted Answer

72

Answer

3

Answer

36.8

Answer

630

Question 10

Find the average rate of change for the table above for the interval [-4,-1].

Accepted Answer

-84

Answer

$$-\frac{1}{84}$$

Answer

-54

Answer

$$-\frac{1}{54}$$

Question 11

Find the average rate of change over the given interval [0, 3].

Accepted Answer

7/3

Answer

4

Answer

7

Answer

3/7

Question 12

What type of pattern do exponential functions have?

Accepted Answer

Multiplies by the same number every time

Answer

Adds by the same number every time

Answer

Square roots all the inputs

Answer

Squares all the inputs

Question 13

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived. Calculate the average rate of change from day 0 to day 5.

Accepted Answer

$$\frac{1283-2000}{5\ -\ 0}=-143.4$$

Answer

$$\frac{2000-1283}{5\ -\ 0}=\ 143.4$$

Answer

$$\frac{5-0}{1283-2000}=-0.007$$

Answer

$$\frac{5-0}{2000-1283}=0.007$$

Exponential Functions Average Rate of Change

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics