Average Rate of Change of an Exponential Function

Find the average rate of change over the given interval. 

• 4

• 7

• 7/3

• 3/7

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Determine whether the table of values represent a linear, quadratic, or exponential pattern.

• Linear

• Quadratic

• Exponential

• None of the above

Is the table linear, exponential or neither?

• Linear

• Exponential

• Neither

An initial investment of $1000 reaches a value, V(t), according to the model V(t) = 1000(1.01)^(4t), where t is the time in years. Determine the average rate of change, to the nearest dollar per year, of this investment from year 2 to year 7.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the average rate of change of the function from x=2 to x=4?

• 20

• 100

• 300

• 600

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

• 21

• -21

• 1/21

• -1/21

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the average rate of change for the interval [0, 3] for the function given below.

f(x) = 3^{x + 7} + 10

(a)  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

• 9

• 10

• 11

• 12

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6