use the graph of the function f given below to answer the questions. is there a local minimum at x = 4? yes…

use the graph of the function f given below to answer the questions. is there a local minimum at x = 4? yes no if there is a local minimum at x = 4, what is it? select the correct choice below and fill in any answer boxes within your choice. a. the local minimum is y = (type an integer.) b. there is no local minimum at x = 4.

use the graph of the function f given below to answer the questions. is there a local minimum at x = 4? yes no if there is a local minimum at x = 4, what is it? select the correct choice below and fill in any answer boxes within your choice. a. the local minimum is y = (type an integer.) b. there is no local minimum at x = 4.

Answer

Explanation:

Step1: Recall the definition of local minimum

A local minimum of a function (y = f(x)) is a point ((a,f(a))) such that (f(a)\leq f(x)) for all (x) in some open interval containing (a).

Step2: Analyze the graph at (x = 4)

Looking at the graph, we can see that at (x = 4), the function has a point where the (y -)value is lower than the (y -)values of the points in the immediate neighborhood of (x = 4).

Answer:

A. The local minimum is (y=-16)