Question

What ordered pair is closest to a local minimum of the function, f(x)?

A. (-1,-3)
B. (0,-2)
C. (1, 4)
D. (2, 1)

Answer 1

The ordered pair closest to a local minimum of the function, f(x), is (0,-2).

Step-by-step explanation:

The ordered pair closest to a local minimum of the function, f(x), is B. (0,-2).

In order to find the local minimum, we need to analyze the function and determine where it reaches its lowest point.

1. First, we evaluate the function at each of the given ordered pairs:
   • f(-1) = -3
   • f(0) = -2
   • f(1) = 4
   • f(2) = 1
2. The ordered pair (0,-2) has the lowest corresponding y-value of -2 among the given options, indicating a local minimum.

Therefore, the ordered pair closest to a local minimum of the function is B. (0,-2).