x - coordinate(s) of absolute maximum:\nx - coordinate(s) of absolute minimum:\nx - coordinate(s) of…

x - coordinate(s) of absolute maximum:\nx - coordinate(s) of absolute minimum:\nx - coordinate(s) of relative maxima:\nx - coordinate(s) of relative minima:

x - coordinate(s) of absolute maximum:\nx - coordinate(s) of absolute minimum:\nx - coordinate(s) of relative maxima:\nx - coordinate(s) of relative minima:

Answer

Explanation:

Step1: Recall the definitions

An absolute maximum occurs at the highest - point of the function over its entire domain shown. A relative maximum is a point where the function changes from increasing to decreasing. An absolute minimum is the lowest - point of the function over its entire domain shown, and a relative minimum is a point where the function changes from decreasing to increasing.

Step2: Identify the absolute maximum

Looking at the graph, the highest point occurs at (x = c6).

Step3: Identify the absolute minimum

The lowest point occurs at (x = c5).

Step4: Identify the relative maxima

The function changes from increasing to decreasing at (x = c3) and (x = c6).

Step5: Identify the relative minima

The function changes from decreasing to increasing at (x = c2) and (x = c5).

Answer:

x - coordinate(s) of absolute maximum: (c6) x - coordinate(s) of absolute minimum: (c5) x - coordinate(s) of relative maxima: (c3, c6) x - coordinate(s) of relative minima: (c2, c5)