Answer:
x = -4 is the value for which f(x) have a local maximum.
Step-by-step explanation:
We are given the following information in the question:
The values of function f(x) is given for different values of x.
Local Maximum
It is the maximum value of f(x) that can occur for a range of values of x or for the entire domain of the function.
So in order to find the point of local maxima we have to check the greatest value of f(x) and the corresponding x gives the x-value for local maximum.
From the table, we know that the maximum value of the of f(x) is 16 and corresponding to this value of f(x) we have x = -4.
Thus, x = -4 is the value for which f(x) have a local maximum.
