Question

complete each of the following sentences. a relative maximum occurs when the graph of a function changes from to a relative minimum occurs when the graph of a function changes from to

Explanation:

Step1: Recall relative - maximum concept

A relative maximum occurs when a function changes from increasing to decreasing. This is because the function reaches a peak where the slope changes from positive (increasing) to negative (decreasing).

Step2: Recall relative - minimum concept

A relative minimum occurs when a function changes from decreasing to increasing. This is because the function reaches a trough where the slope changes from negative (decreasing) to positive (increasing).

Answer:

A relative maximum occurs when the graph of a function changes from increasing to decreasing.
A relative minimum occurs when the graph of a function changes from decreasing to increasing.