Question

A local maximum of the function f(x) occurs when x =
.

Answer 1

When x=-1, y=6. after that point, y begins to decrease. therefore, x=-1 Is the maximum

Answer 2

Answer: A local maximum of the function f(x) occurs when x=-1.

Solution:

The function has a value of 16 when x=-4.

when x increases to -3 the function decreases to -2.

when x increases to -2 the function increases to 0, then a local minmum of the function f(x) occurs when x=-3.

when x increases to -1 the function continues increasing to 6.

when x increases to 0 the function decreases to 0, then a local maximum of the function f(x) occurs when x=-1.

when x increases to 1 the function continues decreasing to -2.