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?\nselect the correct choice below and fill in any answer boxes within your choice.\na. the local maxima is/are y = 3\n(type an integer. use a comma to separate answers as needed.)\nb. there are no local maxima.\n(b) 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 minimum is/are x = -2,1\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 minimum.\nselect the correct choice below and fill in any answer boxes within your choice.\na. the local minima is/are y =\n(type an integer. use a comma to separate answers as needed.)\nb. there are no local minima.
Answer
Explanation:
Step1: Analyze local minima
Local minima occur at the lowest points in a neighborhood. Looking at the graph, the function has local minima at (x = - 2) and (x = 1). The (y) - values at these points are found by substituting the (x) - values into the function (or reading from the graph). When (x=-2), (y = 0) and when (x = 1), (y=0).
Answer:
A. The local minima is/are (y = 0)