The average rate of change of 2|x| on the interval [-3, 5] is 0.5
How to determine the average rate of change of 2|x| on the interval [-3, 5]?
The function is given as
2|x|
Rewrite as
f(x) = 2|x|
The interval is given as
[-3, 5]
So, we have
f(-3) = 2|-3| = 6
f(5) = 2|5| = 10
The average rate of change of 2|x| on the interval [-3, 5] is then calculated as
Rate = (f(5) - f(-3))/(5 --3)
This gives
Rate = (10 - 6)/(5 --3)
Evaluate
Rate = 0.5
Hence, the average rate of change of 2|x| on the interval [-3, 5] is 0.5
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