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QUESTION IMAGE

use the graph. estimate the x - coordinate at which a relative minimum …

Question

use the graph.
estimate the x - coordinate at which a relative minimum occurs.
between 1 and 2
between 2 and 3
between - 1 and - 2
at 0

Explanation:

Step1: Recall the definition of relative minimum

A relative minimum of a function is a point where the function changes from decreasing to increasing.

Step2: Analyze the graph

Looking at the graph, we can see that one of the relative minima (the lower - left one) is between \(x=-1\) and \(x = - 2\), and another relative minimum (the lower - right one) is between \(x = 2\) and \(x=3\).

Answer:

between \(2\) and \(3\)