Question

The graph of a function f is given. Use the graph to answer the question.Find the values of x, if any, at which f has a relative minimum. What are the relative minima?

Answer 1

Relative minimum

A relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).

Therefore, on the graph, we have two relative minima which are,

`(-2,0)\text{ and (2,0)}`

We can see that f has two x-values which are x = -2, 2 and we also have the same y-value which is 0.

Hence, the correct answer is Option 4.