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

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

• Instantaneous rate of change at x=2

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

• Instantaneous rate of change at x=8

Match the following.

• concave up

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

• zero

• Rate of change is increasing

• point of inflection

• Rate of change is decreasing

• concave down

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

• constant

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

The average rate of change is ​ ​ (a)  

• 9

Mathematical Equivalence

ON

Mathematical Equivalence

ON

The average rate of change is (a)  

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

Mathematical Equivalence

ON

Mathematical Equivalence

ON