Question

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 5, is less than or equal to, x, is less than or equal to, 75≤x≤7.

Answer 1

2

Explanation:

You want the average rate of change on the interval [5, 7] for the function shown in the table.

Average rate of change

The average rate of change of a function f(x) on the interval [a, b] is ...

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

For the given function and interval, this is ...

m = (f(7) -f(5))/(7 -5) = (14 -10)/(7 -5) = 4/2 = 2

The aerage rate of change of the function is 2.

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