Average Rate of Change Functions

Find the average rate of change of the function c(x) = x^2 - 3x + 6 over the interval [0, 2].

• 1

• 3

• 2

• 4

Determine the average rate of change of the function p(x) = -x^2 + 3x - 2 over the interval [1, 4].

• 4

• -1

• 2

• 7

Find the average rate of change of the function s(x) = -3x^2 + 6x - 4 over the interval [0, 5].

• -2

• 6

• 3x^2 + 6x - 4

• 10

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

• 72

• 3

• 36.8

• 630

Find the average rate of change of Pete's height from 3 years old to 5 years old.

• 2 inches per year

• 8 inches per year

• 2 years

• 4 inches per year

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

• -2

• 2

• 1/2

• -1/2

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?

• $-1,100/year

• $-1521.12/year

• $-1,776/year

• $-1,891.45/year

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 15 to day 20.

• -38 decks per day

• 38 decks per day

• -0.03 decks per day

• 0.03 decks per day

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

• 21

• -21

• 1/21

• -1/21

• 22.5

• 90

• 30.25

• 25