Question 1
What does it mean for a graph to be concave up on an interval?
Question 2
What is an inflection point?
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
Suppose $f''(a)=0$. What extra information is needed to decide whether $x=a$ is an inflection point?
