What is the average rate of change of the function over the interval x = 0 to x = 4? f(x)=2x−13x 5 enter your answer, as a fraction, in the box.

Respuesta :

The average rate of change of the function over the interval x = 0 to x = 4 is: 61/400.

What is the Average Rate of Change of a Function?

Average rate of change = f(b) - f(a) / b - a

Given the function, f(x) = 2x - 1 / 3x + 5.

a = 0, f(a) = 2x - 1 / 3x + 5 = 2(0) - 1 / 3(0) + 5 = -1/5

b = 4, f(b) = 2x - 1 / 3x + 5 = 2(4) - 1 / 3(4) + 5 = 7/17

Average rate of change = 7/17 - (-1/5) / 4 - 0 = 61/400

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