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:

The concept of relative extrema in calculus is based on the behavior of the slope of the function. A relative maximum occurs when the function changes from increasing (positive - slope) to decreasing (negative - slope). A relative minimum occurs when the function changes from decreasing (negative - slope) to increasing (positive - slope).

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.