choose the intervals where the graph has a decreasing average rate of change. x = 0 to x = 13 x = 3 to x = 6…
choose the intervals where the graph has a decreasing average rate of change. x = 0 to x = 13 x = 3 to x = 6 x = 4 to x = 8 x = 6 to x = 10
Answer
Explanation:
Step1: Recall the concept of decreasing rate of change
A function has a decreasing average rate of change on an interval if the function - value decreases as the input value increases on that interval.
Step2: Analyze each interval
- For the interval (x = 0) to (x = 13): The graph generally increases and then decreases. So, it is not always decreasing on this interval.
- For the interval (x = 3) to (x = 6): The graph is decreasing as (x) goes from (3) to (6).
- For the interval (x = 4) to (x = 8): The graph first decreases from (x = 4) to some value around (x = 6) and then increases from that value to (x = 8). So, it is not always decreasing on this interval.
- For the interval (x = 6) to (x = 10): The graph is increasing as (x) goes from (6) to (10).
Answer:
x = 3 to x = 6