what ordered pair is closest to a local minimum of the function, f(x)?\n(-1, -3)\n(0, -2)\n(1, 4)\n(2…

what ordered pair is closest to a local minimum of the function, f(x)?\n(-1, -3)\n(0, -2)\n(1, 4)\n(2, 1)\n\nx | f(x)\n-2 | -8\n-1 | -3\n0 | -2\n1 | 4\n2 | 1\n3 | 3

what ordered pair is closest to a local minimum of the function, f(x)?\n(-1, -3)\n(0, -2)\n(1, 4)\n(2, 1)\n\nx | f(x)\n-2 | -8\n-1 | -3\n0 | -2\n1 | 4\n2 | 1\n3 | 3

Answer

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: Analyze given points

We have the following points from the table: (-2,-8), (-1,-3), (0,-2), (1,4), (2,1), (3,3). The value of -8 at x = - 2 is lower than -3 at x=-1, but we also check the options. Among the options (-1,-3), (0,-2), (1,4), (2,1), comparing the y - values, -3 is the lowest among them.

Answer:

(-1, -3)