Determine the intervals of the domain over which the given function is increasin

Question

Determine the intervals of the domain over which the given function is increasing, decreasing, and constant. A function increases on an interval of its domain if its graph rises from left to right. A function decreases on an interval if its graph falls from left to right. It is constant on an interval if its graph is horizontal on the interval. In making a determination, ask the question, 'What is the y-value doing as x is getting larger?' On the interval (-5, -2), as x gets larger, the y-values are increasing.

Explanation / Answer

when [-5,-2] the graph is increasing as the slope is positive, as x increases y also increases
when [-2.2] the slope is 0 hence the graph is constant
when [2,8] the graph is decreasing as x increases y decreses hence this is a decreasing function

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