Question

Which interval for the graphed function contams the local
maximum?

Answer 1

Answer:

$[0,2]$

Step-by-step 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 $[0,2]$.