Question

Which interval for the graphed function contams the local
maximum?

Answer 1

`[0,2]`

Explanation:

A local maximum or local minimum is the point where the tangent drawn to it is parallel to the x axis.

The crest of a wave is local maximum and the trough of wave is local minimum.

Here, in the graph, there are 2 troughs and 1 crest.

The crest is at
`(1.55,10.8)`. So, the local maximum is at
`(1.55,10.8)`.

The interval of the local maximum is between
`x = 0` and
`x = 3`.

So, the option that matches with the above interval is
`[0,2]`.