Let's determine at which interval of the given graph is the function increasing.
From the given graph, the following are the interval where the function is increasing.
Interval 1: (-8, -2)
Interval 2: (0, 2)
Interval 3: (5, ∞)
Therefore, the answer is Choice D:
[tex]INCREASING\colon(-8,-2\text{ ) }\cup\text{ (0, 2) }\cup\text{ (5, }\infty)[/tex]
The rest of the parts that weren't named are the parts where the graph is decreasing. These intervals are:
Interval 1: (-∞, -8)
Interval 2: (-2, 0)
Interval 3: (2, 5)
Therefore, the answer is Choice C:
[tex]DECREASING\colon\mleft(-\infty,-8\mright)\text{ }\cup\text{ }\mleft(-2,0\mright)\text{ }\cup\text{ }\mleft(2,5\mright)[/tex]
