Question

The graph of a function f is given.Find the numbers, if any, at which f has a relative minimum. what are the relative minima.Options:a. f has a relative minimum at x=-2; relative minimum is 0b. f has a relative minimum at x=-2 and 2; relative minimum is 0c. f has a relative minimum at x=0; relative minimum is 3d. f has no relative minimum

Answer 1

The relative minimum of a function is the point where the function takes the minumum values.

In this case you see in the graph that the function f takes minimum values where the point are lower in the y axis:

So then f has relative minimum in:

x= 2 and x=-2

with a value of f(x)=y=0