Average Rates of Change: Linear and Quadratic Functions

Find the average rate of change.

• 2 sec/feet

• 2 feet/sec

• 2 feet

• 2 sec

Slope is another word for:

• Initial Value
• Rate of Change
• Change in Y's
• Y-intercept

Draw a picture of a graph that has a Decreasing Average Rate of Change over equal length input intervals.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Draw a picture of a graph that, for all equal length intervals, has a constant average rate of change.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Given the table of f(x), find the average rate of change on the interval [-2,3]

Given the table of f(x), Approximate the instantaneous rate of change at x=-1

You are encouraged to upload a photo of your work!

The average rate of change is represented graphically as the

• equation of the line passing through two given points.

• slope of the tangent line at a given point.

• y-intercept of the line passing through two given points.

• slope of the secant line passing through two given points.

The function, w(t), represented in the table is...

Hint: Use equal length intervals to determine the concavity!

• increasing and concave up.

• increasing and concave down.

• decreasing and concave up.

• decreasing and concave down.