Average Rate of Change Quadratic Functions

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

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

• -12

• 12

• -3

• 3

The table defines a quadratic function.

What is the average rate of change between [-3, 0]?

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

What is the average rate of change over the interval [2, 5]?

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

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

• undefined

• -1/3

• -3

• -4

• 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).