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Lesson: Average Rates of Change and Secant Lines

The topic of this lesson is average rates of change, which correlate the change of the dependent variable of a function f(x) with the independent variable x. The secant line is a line that connects two points of a graph, which is the equivalent geometric definition of the average rate of change.

Worksheet: Average Rates of Change and Secant Lines • 18 Questions

Q1:

For a function , the rate of change at a fixed is . Given that , find when .

Q2:

The average rate of change of a function between and is . Compute this quantity for at , and for .

Q3:

Determine the average rate of change for when changes from 8 to 8.4.

Q4:

Find the average rate of change of when varies from 1.3 to 2.

Q5:

Let . Compute the average rate of change function of as varies from 5 to 5.1.

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