Average Rate of Change Interval and Increasing and Decreasing Table

An average rate of change is calculated over an interval and an instantaneous rate of change is calculated at one point.​ (a)  

• True

• False

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• Instantaneous rate of change at x=2

• Average rate of change on the interval [4, 6]

• Instantaneous rate of change at x=8

• Average rate of change on the interval [0, 4]

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Match the following.

• point of inflection

• Rate of change is increasing

• constant

• The change in the average rates of change of a quadratic function is

• concave down

• Rate of change is decreasing

• concave up

• The change in the average rates of change of a linear function is

• zero

• Point where the concavity changes; increasing to decreasing or decreasing to increasing

Tags

CCSS.HSF-LE.A.1B

The average rate of change is ​ ​ (a)  

• 9

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

The average rate of change is (a)  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the average rate of change in the cyclist's speed from hour 2 to hour 4?

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