Calculate, estimate, and interpret average rate of change for advanced function types.
Find a missing endpoint value from an average rate of change
Problem
The average rate of change is \(4\) on \([2,~7]\), and \(f(2)~=~3\). Find \(f(7)\).
Big Picture
What this problem is really about
Work backward from the definition rather than treating the rate as the total change. Put the unknown endpoint output into the difference quotient, multiply the rate by the full input width, and then restore the known starting output. Substituting the recovered value into the original quotient verifies both the arithmetic and the endpoint order.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
