determine the interval(s) on which the function is (strictly) decreasing.\nwrite your answer as an interval…

determine the interval(s) on which the function is (strictly) decreasing.\nwrite your answer as an interval or list of intervals.\nwhen writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible.\nclick on \none\ if applicable.

determine the interval(s) on which the function is (strictly) decreasing.\nwrite your answer as an interval or list of intervals.\nwhen writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible.\nclick on \none\ if applicable.

Answer

Answer:

$[-3,-2]$

Explanation:

Step1: Recall the definition of a decreasing function

A function (y = f(x)) is decreasing on an interval (I) if for any (x_1,x_2\in I) with (x_1<x_2), we have (f(x_1)>f(x_2)).

Step2: Analyze the graph

Looking at the graph, we observe the part of the graph where as (x) increases (moves from left - to - right), the (y) - value of the function decreases. We check the (x) - values for this behavior. The (x) - values start at (x=-3) and end at (x = - 2) for the decreasing part of the graph.

So, the function is decreasing on the interval ([-3,-2]).