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

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

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

• Instantaneous rate of change at x=8

• Instantaneous rate of change at x=2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Match the following.

• constant

• Rate of change is decreasing

• concave up

• Rate of change is increasing

• zero

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

• concave down

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

• point of inflection

• 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