Question

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

Explanation:

Step1: Define relative maximum

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

Step2: Analyze each key point

• Point a: Crosses x-axis, not a peak.
• Point b: Relative minimum (valley).
• Point c: Touches x-axis, not a peak.
• Point d: Function rises to d then falls, so it is a relative maximum.
• Point e: Crosses x-axis, not a peak.

Answer:

1