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on what interval(s) is the graph decreasing?

Question

on what interval(s) is the graph decreasing?

Explanation:

Step1: Identify decreasing intervals

A graph decreases when as $x$ increases, $y$ decreases.

Step2: Analyze left segment

From $x=-2$ to $x=0$, $x$ rises, $y$ falls: interval $(-2, 0)$.

Step3: Analyze right segment

From $x=0$ to $x=2$, $x$ rises, $y$ falls: interval $(0, 2)$.

Step4: Combine intervals

Union of the two decreasing intervals: $(-2, 0) \cup (0, 2)$

Answer:

$(-2, 0) \cup (0, 2)$