Average Value and Accumulation Functions

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

• -2

• 2

• 1/2

• -1/2

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

• 21

• -21

• 1/21

• -1/21

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 0 to day 5.

Find the average value of the function y = 1/3x² on the interval from [1, 4]

• 7/3

• 7

• 8/3

• 8

Mathematical Equivalence

ON

Find the average value of the function over [4, 9]

• 2

• 1

• 2/5

• 1/5

What is the average value of f(x)= 6x²+62x-9 over (0,10)

• 5011

• 501.1

• 501

• 5010

Find the average value of the function y = 1/6x³-2x on the interval [-1, 2].

• -11/24

• -13/24

• -17/24

• -19/24

Find the average value of the function over [4, 9]

• 2

• 1

• 2/5

• 1/5