according to the table, which ordered pair is a local minimum of the function, f(x)?\n(0, 9)\n(4, 105)\n(-1…

according to the table, which ordered pair is a local minimum of the function, f(x)?\n(0, 9)\n(4, 105)\n(-1, 0)\n(2, -15)\n\n| x | f(x) |\n| -4 | 105 |\n| -3 | 0 |\n| -2 | -15 |\n| -1 | 0 |\n| 0 | 9 |\n| 1 | 0 |\n| 2 | -15 |\n| 3 | 0 |\n| 4 | 105 |\n| 5 | 384 |

according to the table, which ordered pair is a local minimum of the function, f(x)?\n(0, 9)\n(4, 105)\n(-1, 0)\n(2, -15)\n\n| x | f(x) |\n| -4 | 105 |\n| -3 | 0 |\n| -2 | -15 |\n| -1 | 0 |\n| 0 | 9 |\n| 1 | 0 |\n| 2 | -15 |\n| 3 | 0 |\n| 4 | 105 |\n| 5 | 384 |

Answer

Answer:

D. (2, -15)

Explanation:

Step1: Understand local minimum

A local minimum is a point where the function value is less than or equal to the values at neighboring points.

Step2: Check each option

For (0,9), values at x=- 1 and x = 1 are 0, so it's not a local minimum. For (4,105), values at x = 3 is 0, so it's not a local minimum. For (-1,0), values at x=-2 is - 15, so it's not a local minimum. For (2,-15), the value of the function at x = 1 is 0 and at x = 3 is 0, and -15<0, so (2,-15) is a local - minimum.