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

Answer:

The average rate of change is of -13.

Step-by-step explanation:

Average rate of change:

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

$A = \frac{f(b) - f(a)}{b - a}$

In this question:

Between 2 and 6. So

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

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

$A = \frac{-66 - (-14)}{6 - 2} = \frac{-66 + 14}{4} = \frac{-52}{4} = -13$

The average rate of change is of -13.