Question

How do you find the inflection points when given a graph?

Answer 1

Look for points on the graph at which the concavity changes.
(This is a very inaccurate way of doing it and should be reserved for cases in which we have no formula for the function.)

graph{x^3-x^2 [-1.709, 1.709, -0.855, 0.854]}

Clearly there is an inflection point somewhere between `0` and `1/2`. I find it difficult to be more accurate than that.