Question

Which interval for the graphed function contains the local maximum?

A. [–1, 0]
B. [1, 2]
C. [2, 3]
D. [3, 4]

Answer 1

B

Explanation:

Answer 2

B

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.