2. Differentiation(COLON) Definition and Fundamental Properties

Defining Average And Instantaneous Rates Of Change At A Point — Quiz

Test your understanding of defining average and instantaneous rates of change at a point with 5 practice questions.

Practice Questions

Question 1

What does the average rate of change of a function $f$ from $x=a$ to $x=b$ measure?

Question 2

Which expression gives the instantaneous rate of change of $f$ at $x=a$?

Question 3

For $f(x)=x^2$, what is the average rate of change from $x=1$ to $x=3$?

Question 4

For $f(x)=x^2$, what is the instantaneous rate of change at $x=2$?

Question 5

If the average rate of change of a function on an interval is constant, what does that suggest about the graph on that interval?