use the graph to find:\n(a) the numbers, if any, at which f has a local maximum. what are these local…

use the graph to find:\n(a) the numbers, if any, at which f has a local maximum. what are these local maxima?\n(b) the numbers, if any, at which f has a local minimum. what are these local minima?\n(a) select the correct choice below and fill in any answer boxes within your choice.\na. the value(s) of x at which f has a local maximum is/are\nx = 0.\n(type an integer. use a comma to separate answers as needed.)\nb. there are no values of x at which f has a local maximum.\nselect the correct choice below and fill in any answer boxes within your choice.\na. the local maxima is/are y=\n(type an integer. use a comma to separate answers as needed.)\nb. there are no local maxima.

use the graph to find:\n(a) the numbers, if any, at which f has a local maximum. what are these local maxima?\n(b) the numbers, if any, at which f has a local minimum. what are these local minima?\n(a) select the correct choice below and fill in any answer boxes within your choice.\na. the value(s) of x at which f has a local maximum is/are\nx = 0.\n(type an integer. use a comma to separate answers as needed.)\nb. there are no values of x at which f has a local maximum.\nselect the correct choice below and fill in any answer boxes within your choice.\na. the local maxima is/are y=\n(type an integer. use a comma to separate answers as needed.)\nb. there are no local maxima.

Answer

Explanation:

Step1: Recall the definition of local maximum

A local maximum of a function (y = f(x)) occurs at a point (x = a) if (f(a)\geq f(x)) for all (x) in some open interval containing (a). From the graph, when (x = 0), the (y) - value is (y=3).

Step2: Determine the local maxima value

Since the (y) - coordinate of the local maximum (where (x = 0)) is (y = 3)

Answer:

A. The local maxima is/are (y = 3)