Question

which of the following most accurately identifies the relative extrema in the graph? (1 point) there is a relative minimum at (4,0) and a relative maximum at about (3,1). there is a relative maximum at (4,0) and a relative minimum at (3,1). there is a relative maximum at (1.5,0) and (4,0) and a relative minimum at about (3,1). there is a relative minimum at (1.5,0) and (4,0) and a relative maximum at about (3,1).

Explanation:

Step1: Recall relative extrema definition

A relative maximum is a point where the function changes from increasing to decreasing, and a relative minimum is a point where the function changes from decreasing to increasing.

Step2: Analyze the graph

By observing the graph (not shown fully here but based on the context of the problem - solving relative extrema), we look for peaks (relative maxima) and valleys (relative minima). A relative maximum occurs when the function value is higher than the nearby points, and a relative minimum occurs when the function value is lower than the nearby points.

Answer:

There is no graph content fully visible to accurately determine the relative extrema. But if we assume normal - analysis of relative extrema concepts, we need to check the points where the slope of the function changes sign. Without the full graph, we cannot choose from the given options. If we had a proper view of the graph, we would identify the points where the function changes its increasing/decreasing behavior to pick the correct relative maxima and minima.