maxima and minima\npart 2 of 4\npoints: 0 of 1\nuse the graph to identify the points on the interval a,b at…

maxima and minima\npart 2 of 4\npoints: 0 of 1\nuse the graph to identify the points on the interval a,b at which local and absolute extreme values occur.\nlist the x - values of the points where local minima occur, if any. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the local minimum point(s) occur(s) at x = q\n(use a comma to separate answers as needed.)\nb. there are no local minima.\nlist the x - values of the points where local maxima occur, if any. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the local maximum point(s) occur(s) at x =\n(use a comma to separate answers as needed.)\nb. there are no local maxima.

maxima and minima\npart 2 of 4\npoints: 0 of 1\nuse the graph to identify the points on the interval a,b at which local and absolute extreme values occur.\nlist the x - values of the points where local minima occur, if any. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the local minimum point(s) occur(s) at x = q\n(use a comma to separate answers as needed.)\nb. there are no local minima.\nlist the x - values of the points where local maxima occur, if any. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the local maximum point(s) occur(s) at x =\n(use a comma to separate answers as needed.)\nb. there are no local maxima.

Answer

Explanation:

Step1: Recall local - maxima and minima definition

Local minima are points where the function changes from decreasing to increasing. Local maxima are points where the function changes from increasing to decreasing.

Step2: Analyze the graph

From the graph, we see that the function changes from decreasing to increasing at (x = q), so (x=q) is a local - minimum. The function changes from increasing to decreasing at (x = p) and (x = r).

Answer:

For local minima: A. The local minimum point(s) occur(s) at (x = q) For local maxima: A. The local maximum point(s) occur(s) at (x = p,r)