a local maximum of the function f(x) occurs for which x - value?\n| x | f(x) |\n| -4 | 16 |\n| -3 | -2 |\n|…

a local maximum of the function f(x) occurs for which x - value?\n| x | f(x) |\n| -4 | 16 |\n| -3 | -2 |\n| -2 | 0 |\n| -1 | 6 |\n| 0 | 0 |\n| 1 | -2 |\n-4\n-3\n-2\n-1

a local maximum of the function f(x) occurs for which x - value?\n| x | f(x) |\n| -4 | 16 |\n| -3 | -2 |\n| -2 | 0 |\n| -1 | 6 |\n| 0 | 0 |\n| 1 | -2 |\n-4\n-3\n-2\n-1

Answer

Explanation:

Step1: Identify function - values

We have the pairs (-4, 16), (-3, -2), (-2, 0), (-1, 6), (0, 0), (1, -2).

Step2: Compare function - values

We compare the (f(x)) values to find the largest one among them. We see that (f(-4)=16), (f(-3)= - 2), (f(-2)=0), (f(-1)=6), (f(0)=0), (f(1)=-2). The largest (f(x)) value is 16 which occurs when (x = - 4).

Answer:

-4