Average Rate of Change of Exponential Function

Is the table linear, exponential or neither?

• Linear

• Exponential

• Neither

Find the rate of change over the interval 1 to 4.

• 6

• 1/6

• -6

• -1/6

Find the rate of change over the interval -2 to 4.

• 4

• -4

• -1/4

• 1/4

• 5

• 15

• 0

• 13

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.

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

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

Find the rate of change in the table from the interval 0 to 4.

• 3

• -3

• 20

• 20

Find the rate of change over the interval 0 to 4.

• 1/9

• 9

• 8

• 1/8

Find the rate of change over the interval 5 to 20.

• -63 

• -73 

• -83 

• -53 

Find the rate of change over the interval 15 to 20.

• -38 

• 38 

• -0.03 

• 0.03