Question

Which interval for the graphed function contains the local maximum?

Answer 1

Answer:

B

Step-by-step explanation:

Definition: Suppose that $f(x)$ is a function and $D(f)$ is the domain of $f(x).$ If $a\in D(f),$ we say that $f(a)$ is a Local Maximum on $f(x)$ if $f(a)\ge f(x)$ when $x$ is near $a.$ (See attached diagram for details)

From your graph you can see that the local maximum is nearly x=1.5, so interval [1,2] contains the local maximum.