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What is the average rate of change of the function g(x) = 4 from x = 1 to x = 5? Show your work.​

1 Answer

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Answer:

0

Explanation:

The average rate of change of function g on the interval [a, b] is ...

m = (g(b) -g(a))/(b -a)

For g(x) = 4, the average rate of change on the interval [1, 5] is ...

m = (g(5) -g(1))/(5 -1) = (4 -4)/(5 -1) = 0/4 = 0

The average rate of change is zero.

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The function describes a horizontal line, which has a slope of 0 everywhere. Its average rate of change will be 0 on any interval.

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