Question

use the graph.
estimate the x - coordinate at which a relative maximum occurs.
-1
-2
2
1

Explanation:

Step1: Understand relative maximum

A relative maximum of a function \( y = f(x) \) is a point where the function changes from increasing to decreasing. Visually, on a graph, it is a "peak" in a local region.

Step2: Analyze the graph

Looking at the given graph of \( y = f(x) \):

• For \( x=-2 \), the function is not at a peak (it is in a decreasing - increasing trend around \( x = - 2\)).
• For \( x=-1 \), the function is at a local minimum (a "valley" in the graph).
• For \( x = 2 \), the function is in an increasing trend (not a peak).
• For \( x=1 \), the function has a peak (changes from increasing to decreasing at \( x = 1\) in its local neighborhood).

Answer:

1