identify the intervals where the graph is increasing, decreasing and constant.\nincreasing on the…
identify the intervals where the graph is increasing, decreasing and constant.\nincreasing on the interval(s)\ndecreasing on the interval(s)\nconstant on the interval(s)\nquestion help: video message instructor
Answer
Explanation:
Step1: Recall the definitions
- A function is increasing if as (x) increases, (y) increases.
- A function is decreasing if as (x) increases, (y) decreases.
- A function is constant if as (x) increases, (y) remains the same.
Step2: Analyze the graph
- Looking at the graph, we can see that the function is decreasing from (x = -\infty) to (x=-4).
- The function is constant from (x=-4) to (x = 2).
- The function is increasing from (x = 2) to (x=\infty).
Answer:
- Increasing on the interval ((2,\infty))
- Decreasing on the interval ((-\infty,-4))
- Constant on the interval ((-4,2))