What ordered pair is closest to a local minimum of the function, f(x)? (–1, –3) (0, –2) (1, 4) (2, 1) the graph is x f(x) -2 -8 -1 -3 0 -2 1 4 2 1 3 3

The answer is:

 By definition, a point is a local minimum if it has the smallest y coordinate in that interval and the graph goes from decreasing to increasing.

Based on this information, you can graph the points given in the problem above, as you can see in the figure attached. Then, you can notice that the ordered pair that is closest to a local minimum of the function is the last option shown in the problem.