Question

Step 1 of 2: Use the graph to determine the locations and type of the local extrema. Write DNE for all extrema that do not exist. Separate multiple answers with a comma, if necessary. Local minimum at: _____Local maximum at:_____

Answer 1

The local minimum is at (-2, 4)

The local maaximum is at (-3, 5) and (-1, 5)

We can see the local mimum and maximum of a function looking at the shape of the graph.

The local maximum is when we have a "mountain", because is a point higher that any other surronding it.

The local minimum is when we have a "valley" because is a point lower than any near it.

In this case, we have two maximums and one minimum.

The maximums are in (-3, 5) and (-1, 5)

The minimum is at (-2, 4)