Average Rate of Change of Functions Quadratic

Calculate the average rate of change of the function f(x) = 2x^2 - 3x + 5 over the interval [1, 3].

• 5

• 3

• 10

• 7

Find the average rate of change of the function g(x) = -x^2 + 4x - 1 over the interval [2, 5].

• -3

• 2

• 5

• 10

Determine the average rate of change of the function h(x) = 3x^2 + 2x - 7 over the interval [-2, 2].

• -2

• 10

• -10

• 2

• The average rate of change of f(x) is greater than the average rate of change of g(x).

• The average rate of change of g(x) is greater than the average rate of change of f(x).

• The average rate of change of f(x) is the same as the average rate of change of g(x).

Two functions are shown below. Quadratic function, f(x), is represented in the graph below. Quadratic function, g(x), is represented in the table. Which function has a greater average rate of change over the interval -2 < x < 1?

• f(x)

• g(x)

Answer explanation

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

• 4

• -1

• 2

• 7

Determine the average rate of change of the function b(x) = -2x^2 + 5x - 1 over the interval [1, 3].

• 2

• -1

• 3

• 0

The graph shows the distance, y, in yards, from the start of a beach to the edge of the water as the tide changes x hours after the distance is first recorded.

What is the average rate of chahnge on the interval from x=0 to x=6?

• A

• B

• C

• D

• 4

• 8

• 12

• Cannot be determined

What is the average rate of change from x=0 to x=1

• -3

• 3

• 0

• 2