Question

A local maximum of the function f(x) occurs for which x-value? –4 –3 –2 –1

Answer 1

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.

Answer 2

Answer:

A local maximum of the function f(x) occurs for which x-value?

–4