Question

Which interval for the graphed function contains the local maximum? [3, 2] [2, 0] [0, 2] [2, 4]?

Answer 1

The question is incomplete.

However,

Local maximum: The points where they will have the maximum value is referred to as local maximum.  

It is not the maximum for the whole function.

It is the maximum value locally.

Here,

[ 0, 2 ] is the interval for the graphed function that contains the local maximum.

Hence, the answer is [ 0, 2 ] is the answer.