5. Analytical Applications of Differentiation

Determining Intervals On Which A Function Is Increasing Or Decreasing — Quiz

Test your understanding of determining intervals on which a function is increasing or decreasing with 5 practice questions.

Practice Questions

Question 1

What does it mean for a function $f$ to be increasing on an interval?

Question 2

If $f'(x)>0$ on an interval, what can be concluded about $f$ on that interval?

Question 3

Suppose $f'(x)<0$ for all $x$ in an interval. What is the correct description of $f$ on that interval?

Question 4

For the function $f(x)=x^2$, on which interval is $f$ increasing?

Question 5

For the function $f(x)=x^3$, on which interval is $f$ decreasing?