Average vs Instantaneous Rate of Change

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

• 5

• 10

• 7

• 3

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Determine the average rate of change of the function g(t) = 4t^3 - 2t + 7 on the interval [2, 5].

• The average rate of change is 106.

• The average rate of change is 10.

• The average rate of change is 25.

• The average rate of change is 42.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the average rate of change of the function h(x) = 3x + 4 on the interval [0, 2].

• 3

• 2

• 7

• 10

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Compute the average rate of change of the function k(t) = 5t^2 - 6t + 9 on the interval [3, 6].

• 15

• 30

• 10

• 27

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the average rate of change of [1, 5]?

Mathematical Equivalence

OFF

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Compute the average rate of change of the function m(t) = 7t^2 - 8t + 11 on the interval [4, 7].

• 35

• 40

• 20

• 33

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6