find the absolute extreme values and where they occur.\nselect the correct choice below and, if necessary…

find the absolute extreme values and where they occur.\nselect the correct choice below and, if necessary, fill in the answer boxes within your choice.\na. the absolute maximum value is at ( x = ), and the absolute minimum value is at ( x = ).\nb. the absolute maximum value is at ( x = ). there is no absolute minimum value.\nc. the absolute minimum value is at ( x = ). there is no absolute maximum value.\nd. there is no absolute maximum value or absolute minimum value.

find the absolute extreme values and where they occur.\nselect the correct choice below and, if necessary, fill in the answer boxes within your choice.\na. the absolute maximum value is at ( x = ), and the absolute minimum value is at ( x = ).\nb. the absolute maximum value is at ( x = ). there is no absolute minimum value.\nc. the absolute minimum value is at ( x = ). there is no absolute maximum value.\nd. there is no absolute maximum value or absolute minimum value.

Answer

Explanation:

Step1: Analyze the graph

The graph has a closed - dot at a point and an open - dot. The closed - dot represents a point that is included in the function's domain and range for that particular (x) value. The open - dot means the point is not included.

Step2: Determine the maximum and minimum

Looking at the (y) - values of the points on the graph. The highest (y) - value among the included points (closed - dot) is (- 2) at (x=-4). As (x) approaches (10) (open - dot), the function value gets lower, but since the open - dot is not included, we check the trend. The function is decreasing from (x = - 4) to (x=10) (excluding (x = 10)). So, there is no minimum value (because the value at (x = 10) is not included and the function keeps getting closer to a lower (y) - value but never actually reaches a minimum within the domain shown in a "completed" sense).

Answer:

B. The absolute maximum value is (-2) at (x = - 4). There is no absolute minimum value.