according to the table, which ordered pair is a local minimum of the function, f(x)?\no (0, 9)\no (4…

according to the table, which ordered pair is a local minimum of the function, f(x)?\no (0, 9)\no (4, 105)\no (-1, 0)\no (2, -15)\nx\tf(x)\n-4\t105\n-3\t0\n-2\t-15\n-1\t0\n0\t9\n1\t0\n2\t-15\n3\t0\n4\t105\n5\t384

Answer

Answer:

D. (2, -15)

Explanation:

Step1: Understand local minimum

A local minimum is a point where the function value is less than the values at nearby points.

Step2: Check each option

For (0, 9), values at x=-1 and x = 1 are 0 which are less than 9, so not a local - minimum.
For (4, 105), value at x = 3 is 0 which is less than 105, so not a local - minimum.
For (-1, 0), values at x=-2 and x = 0 are - 15 and 9 respectively. Since -15<0, not a local - minimum.
For (2, -15), values at x = 1 and x = 3 are 0 and 0 respectively, and -15<0. So (2, -15) is a local minimum.