Question

problems 24 - 25, for the polynomial graphs, shown below, determine the number of points of inflection. 24. 25.

Explanation:

Step1: Recall inflection - point definition

An inflection point is a point on a curve where the concavity changes (from concave - up to concave - down or vice - versa).

Step2: Analyze graph 24

Inspect the first graph. The concavity changes once. So, there is 1 inflection point.

Step3: Analyze graph 25

Inspect the second graph. The concavity changes twice. So, there are 2 inflection points.

Answer:

1. 1
2. 2