consider the function graphed to the right. the function is increasing on the interval(s): the function is…

Explanation:

Step1: Identify increasing intervals

A function is increasing when the y - values increase as the x - values increase. Looking at the graph, the function is increasing on the interval $(-5,-2)$.

Step2: Identify decreasing intervals

A function is decreasing when the y - values decrease as the x - values increase. The function is decreasing on the interval $(2,5)$.

Step3: Identify constant intervals

A function is constant when the y - values do not change as the x - values change. The function is constant on the intervals $(-2,2)$.

Step4: Determine the domain

The domain is the set of all possible x - values. From the graph, the x - values range from - 5 to 5. So the domain is $[-5,5]$.

Step5: Determine the range

The range is the set of all possible y - values. The lowest y - value is - 6 and the highest y - value is - 4. So the range is $[-6,-4]$.

Answer:

The function is increasing on the interval(s): $(-5,-2)$ The function is decreasing on the interval(s): $(2,5)$ The function is constant on the interval(s): $(-2,2)$ The domain of the function is: $[-5,5]$ The range of the function is: $[-6,-4]$