use the graph.\nestimate the x - coordinate at which a relative maximum occurs.\n-1\n-2\n2\n1

use the graph.\nestimate the x - coordinate at which a relative maximum occurs.\n-1\n-2\n2\n1

use the graph.\nestimate the x - coordinate at which a relative maximum occurs.\n-1\n-2\n2\n1

Answer

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