5. Calculus

Concavity And Points Of Inflection — Quiz

Test your understanding of concavity and points of inflection with 5 practice questions.

Practice Questions

Question 1

For a graph of $y=f(x)$, what does it mean if the graph is concave up on an interval?

Question 2

Which statement best describes a point of inflection?

Question 3

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

Question 4

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

Question 5

A student finds that $f''(a)=0$ for some value $a$. What else must be checked before concluding that $x=a$ is a point of inflection?