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:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
Between 2 and 6. So
[tex]f(6) = -5(6) - 6^2 = -30 - 36 = -66[/tex]
[tex]f(2) = -5(2) - 2^2 = -10 - 4 = -14[/tex]
[tex]A = \frac{-66 - (-14)}{6 - 2} = \frac{-66 + 14}{4} = \frac{-52}{4} = -13[/tex]
The average rate of change is of -13.
