Question

the graph of the polynomial function f is shown. how many points of inflection does the graph of f have on the given portion of the graph? a one b three c four d five

Explanation:

Step1: Recall inflection - point definition

An inflection point is a point on the graph of a function where the concavity changes.

Step2: Analyze the graph

Visually inspect the given graph of the polynomial function \(f\). We look for the points where the curve changes from being concave - up (shaped like a cup opening upwards) to concave - down (shaped like a cup opening downwards) or vice - versa.

Step3: Count the inflection points

By counting, we find that there are three such points on the given portion of the graph.

Answer:

B. Three