5. Analytical Applications of Differentiation

Determining Concavity Of Functions Over Their Domains — Quiz

Test your understanding of determining concavity of functions over their domains with 5 practice questions.

Practice Questions

Question 1

What does it mean for a function to be concave up on an interval?

Question 2

If $f''(x) < 0$ for all $x$ in an interval, what can be concluded about the graph of $f$ on that interval?

Question 3

For $f(x) = x^2$, where is the function concave up?

Question 4

A point where a function changes from concave up to concave down, or from concave down to concave up, is called a what?

Question 5

If $f''(x) > 0$ on $(a,b)$, what does this tell you about $f'(x)$ on $(a,b)$?