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Question
on what interval(s) is the graph decreasing?
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: $(-2, 0) \cup (0, 2)$
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$(-2, 0) \cup (0, 2)$