Question

average rates of change on an interval.

1. avg rate of change is −1 on the interval 1 ≤ x ≤ 5.

avg rate of change is −7 on the interval 5 ≤ x ≤ 9.
what is the average rate of change of g on the interval 17 ≤ x ≤ 21 ?
−25
the avg rate of change is decreasing by 6 for each
interval of 4. for 9 ≤ x ≤ 13, the avg rate of change is
−13. for 13 ≤ x ≤ 17, the avg rate of change is −19.
for 17 ≤ x ≤ 21, the avg rate of change is −25.

Explanation:

Step1: Identify the pattern

The average rate of change decreases by 6 for each 4 - unit interval.

Step2: Track the intervals

• \(1\leq x\leq5\): -1
• \(5\leq x\leq9\): -7 ( -1 - 6)
• \(9\leq x\leq13\): -13 ( -7 - 6)
• \(13\leq x\leq17\): -19 ( -13 - 6)
• \(17\leq x\leq21\): -19 - 6 = -25

Answer:

-25