use the graph of the function f given below to answer the questions. is there a local maximum at x = - 4…
use the graph of the function f given below to answer the questions. is there a local maximum at x = - 4? yes no
Answer
Explanation:
Step1: Recall local - maximum definition
A local maximum of a function (y = f(x)) at (x = a) is a point where (f(a)) is greater than or equal to (f(x)) for all (x) in some open interval containing (a).
Step2: Examine the graph at (x=-4)
Looking at the graph of the function (y = f(x)) near (x=-4), we see that the function value at (x = - 4) is not the highest value in its immediate neighborhood. The function is increasing to the left and right of (x=-4) in a small open - interval around (x=-4).
Answer:
No