Question

identify the extrema of the graph.
absolute minimum
absolute maximum
relative minimum
relative maximum
there is none
point a
point b
point d
point c

Explanation:

Step1: Understand absolute minimum

The absolute minimum is the lowest point on the entire graph. Looking at the graph, there is no such point (as the graph extends downward infinitely in the left - hand side).

Step2: Understand absolute maximum

The absolute maximum is the highest point on the entire graph. Point \(A\) is the highest point among the given points on the graph.

Step3: Understand relative minimum

A relative minimum is a point that is lower than the neighboring points. Point \(B\) is lower than its immediate neighboring points.

Step4: Understand relative maximum

A relative maximum is a point that is higher than the neighboring points. Point \(D\) is higher than its immediate neighboring points.

Answer:

Absolute Minimum: There is None
Absolute Maximum: Point A
Relative Minimum: Point B
Relative Maximum: Point D