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

If a function is increasing on an interval, what does this mean about its values as $x$ moves from left to right on that interval?

Question 2

Which statement is true if $f'(x) > 0$ on an interval?

Question 3

Suppose $f'(x) < 0$ for all $x$ in an interval. What can be concluded about $f$ on that interval?

Question 4

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

Question 5

A function has derivative $f'(x) = 3(x - 2)(x + 1)$. On which interval is the function increasing?