Question

graphing the cubic function practice
complete this assessment to review what you’ve learned. it will not count toward your grade.
the point where the graph of a function changes from concave up to concave down or vice versa is called what kind of point?
option #1: critical point
option #2: inflection point
option #3: turning point
(1 point)

Explanation:

To solve this, we recall the definitions: A critical point is where the derivative is zero or undefined (related to extrema or points where slope changes). A turning point is a local maximum or minimum (where the function changes from increasing to decreasing or vice versa). An inflection point is specifically where the concavity of the function (concave up to concave down or vice versa) changes. So the point described matches the definition of an inflection point.

Answer:

Option #2: inflection point