graphs and functions\nfinding where a function is increasing, decreasing, or constant given the…

graphs and functions\nfinding where a function is increasing, decreasing, or constant given the graph\ndetermine 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.

graphs and functions\nfinding where a function is increasing, decreasing, or constant given the graph\ndetermine 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

Explanation:

Step1: Identify decreasing segments

A function decreases where the graph slopes downward from left to right.

Step2: Analyze the graph segments

From $x = -6$ to $x = -4$, the graph rises. From $x = -4$ to $x = 0$, the graph is horizontal. From $x = 0$ to $x = 3$, the graph rises. From $x = 3$ to $x = 5$, the graph is horizontal. From $x = 5$ to $x = 6$, the graph rises.

Step3: Determine decreasing intervals

Since no part of the graph slopes downward, there are no intervals where the function is decreasing.

Answer:

None