Which interval for the graphed function contains the local maximum?
A. [–1, 0]
B. [1, 2]
C. [2, 3]
D. [3, 4]

Answer:
B
Step-by-step explanation:
Definition: Suppose that [tex]f(x)[/tex] is a function and [tex]D(f)[/tex] is the domain of [tex]f(x).[/tex] If [tex]a\in D(f),[/tex] we say that [tex]f(a)[/tex] is a Local Maximum on [tex]f(x)[/tex] if [tex]f(a)\ge f(x)[/tex] when [tex]x[/tex] is near [tex]a.[/tex] (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.