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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

• -3

• 2

• 5

• 10

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

• -2

• 10

• -10

• 2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• 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).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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

• 4

• -1

• 2

• 7

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

• 2

• -1

• 3

• 0

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• 4

• 8

• 12

• Cannot be determined

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

• -3

• 3

• 0

• 2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6