Question

the function $f(x)$ is graphed below. how many points on the graph represent a relative maximum? your answer

Explanation:

Step1: Define relative maximum

A relative maximum is a point on the graph where the function changes from increasing to decreasing, so the point is higher than all nearby points.

Step2: Identify candidate points

Check each labeled point:

• Point a: Function increases after this point, not a maximum.
• Point b: Function rises to b, then falls. This is a relative maximum.
• Point c: Function falls before and after, not a maximum.
• Point d: Function falls to d, then rises (relative minimum).
• Point e: Function rises after this point, not a maximum.

Answer:

1