indicate which intervals are increasing, decreasing, or constant.
indicate which intervals are increasing, decreasing, or constant.
Answer
Explanation:
Step1: Recall function - behavior rules
If the graph of a function goes up as we move from left - to - right, the function is increasing. If it goes down, it is decreasing. If it is a horizontal line, it is constant.
Step2: Analyze interval (1)
Looking at the graph, in interval (1), as (x) increases, (y) increases. So, it is an increasing interval.
Step3: Analyze interval (2)
In interval (2), as (x) increases, (y) decreases. So, it is a decreasing interval.
Step4: Analyze interval (3)
In interval (3), as (x) increases, (y) increases. So, it is an increasing interval.
Step5: Analyze interval (4)
In interval (4), as (x) increases, (y) decreases. So, it is a decreasing interval.
Step6: Analyze interval (5)
In interval (5), as (x) increases, (y) increases. So, it is an increasing interval.
Step7: Analyze interval (7)
In interval (7), as (x) increases, (y) is constant (a horizontal line). So, it is a constant interval.
Answer:
Interval (1): Increasing; Interval (2): Decreasing; Interval (3): Increasing; Interval (4): Decreasing; Interval (5): Increasing; Interval (7): Constant.