Question

Identify the local maximum and local minimum of the function shown in the graph below. You can assume that the maximum and minimum values lie on whole numbers

Answer 1

Given:

The graph of the function is given.

To find:

The local maximum and a local minimum of the function.

Step-by-step explanation:

We know that,

The local minimum is a point within an interval at which the function has a minimum value.

So, the local minimum point is,

`(0,1)`

The local maximum is a point within an interval at which the function has a maximum value.

So, the local maximum point is,

`(-3,4)`

Final answer:

The local minimum point is,

`(0,1)`

The local maximum point is,

`(-3,4)`