identify the location and value of any relative maxima or minima of the function. ignore points on the…

identify the location and value of any relative maxima or minima of the function. ignore points on the boundary of the graph. if there is more than one answer, separate them with the \and\ button. the function has no relative minimum. the function has one relative minimum. the function has two relative minima. a relative minimum occurs at the point(s) the function has no relative maximum. the function has one relative maximum. the function has two relative maxima. a relative maximum occurs at the point(s)

identify the location and value of any relative maxima or minima of the function. ignore points on the boundary of the graph. if there is more than one answer, separate them with the \and\ button. the function has no relative minimum. the function has one relative minimum. the function has two relative minima. a relative minimum occurs at the point(s) the function has no relative maximum. the function has one relative maximum. the function has two relative maxima. a relative maximum occurs at the point(s)

Answer

Explanation:

Step1: Observe the graph

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

Step2: Count relative minima

By looking at the graph, we can see that the function has two points where it changes from decreasing to increasing. So, it has two relative minima.

Step3: Identify relative - minima points

The relative minima occur at the points where the "valleys" of the graph are. From the graph, if we assume the grid - based coordinates, the relative minima occur at approximately $(- 3,0)$ and $(3,0)$.

Step4: Count relative maxima

The function has one point where it changes from increasing to decreasing. So, it has one relative maximum.

Step5: Identify relative - maxima point

The relative maximum occurs at the "peak" of the graph. From the graph, if we assume the grid - based coordinates, the relative maximum occurs at approximately $(0,3)$.

Answer:

The function has two relative minima. A relative minimum occurs at the points $(-3,0)$ and $(3,0)$. The function has one relative maximum. A relative maximum occurs at the point $(0,3)$.