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=


Answer :

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]