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Determine the interval(s) for which the function shown below is decreasing.
Write your response in interval notation using the symbol U when necessary.

Determine The Intervals For Which The Function Shown Below Is DecreasingWrite Your Response In Interval Notation Using The Symbol U When Necessary class=

Sagot :

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Answer:

(-∞, -2) ∪ (0, ∞)

Step-by-step explanation:

A function is decreasing when its slope is negative, meaning that as x increases, y decreases.

From observation of the graphed function, the turning points are when x = -2 and x = 0, and the slope of the function is negative on the intervals (-∞, -2) and (0, ∞).

Therefore, the function is decreasing on the intervals:

[tex]\LARGE\boxed{\boxed{(-\infty, -2) \cup (0, \infty)}}[/tex]

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