determine the intervals where the function is increasing and decreasing. submit your solution in interval…

determine the intervals where the function is increasing and decreasing. submit your solution in interval notation. draw show your work here hint: to add the union symbol (u), type \union\ increasing intervals: decreasing intervals:

determine the intervals where the function is increasing and decreasing. submit your solution in interval notation. draw show your work here hint: to add the union symbol (u), type \union\ increasing intervals: decreasing intervals:

Answer

Explanation:

Step1: Recall increasing - decreasing rules

A function is increasing when the graph goes up from left - to - right and decreasing when it goes down from left - to - right.

Step2: Identify increasing interval

Looking at the graph, the function is going up from (x = 2) to (x=6). So the increasing interval is ((2,6)).

Step3: Identify decreasing intervals

The function is going down from (x=-\infty) to (x = 2) and from (x=6) to (x=\infty). So the decreasing intervals are ((-\infty,2)\cup(6,\infty)).

Answer:

Increasing intervals: ((2,6)) Decreasing intervals: ((-\infty,2)\cup(6,\infty))