Question

1. avg rate of change is -6 on the interval 0 ≤ x ≤ 5. avg rate of change is -2 on the interval 5 ≤ x ≤ 10. what is the average rate of change of g on the interval 20 ≤ x ≤ 25 ?

10
the avg rate of change is increasing by 4 for each interval of 5. for 10 ≤ x ≤ 15, the avg rate of change is 2. for 15 ≤ x ≤ 20, the avg rate of change is 6. for 20 ≤ x ≤ 25, the avg rate of change is 10.

Explanation:

Step1: Identify the pattern

The average rate of change increases by 4 for each 5 - unit interval.

Step2: Track the intervals

• \(0\leq x\leq5\): -6
• \(5\leq x\leq10\): -2 (increase by 4 from -6)
• \(10\leq x\leq15\): 2 (increase by 4 from -2)
• \(15\leq x\leq20\): 6 (increase by 4 from 2)
• \(20\leq x\leq25\): 6 + 4 = 10 (increase by 4 from 6)

Answer:

10