Question

Find the average rate of change of the function between the given values of x.

y = -5x - x2 between 2 and x = 6.

Answer 1

The average rate of change is of -13.

Explanation:

Average rate of change:

The average rate of change of a function in an interval [a,b] is given by:

`A = (f(b) - f(a))/(b - a)`

In this question:

Between 2 and 6. So

`f(6) = -5(6) - 6^2 = -30 - 36 = -66`

`f(2) = -5(2) - 2^2 = -10 - 4 = -14`

`A = (-66 - (-14))/(6 - 2) = (-66 + 14)/(4) = (-52)/(4) = -13`

The average rate of change is of -13.