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)

Explanation:

Step1: Understand local minimum

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

Step2: Analyze function values

We have the following function - value pairs: (-2, -8), (-1, -3), (0, -2), (1, 4), (2, 1), (3, 3).

Step3: Compare values

Among these, the y - values are -8, -3, -2, 4, 1, 3. The smallest y - value is -8 corresponding to x=-2. But if we consider the options given, we check the relative minima among them. Among the given options, we note that the function value at (0, -2) is smaller compared to the other options' function values.

Answer:

(0, -2)