Question

A function is given. Determine the average rate of change of the function between the given values of the variable.
f(z) = 2 − 3z^2; z = −2, z = 0

Answer 1

average rate of change is just \[
\frac{f(b)-f(a)}{b-a}
\]

Answer 2

In this case \(b=0\) and \(a=-2\)

Answer 3

so
f(0) = 2 - 3(0)^2 = f(b)
f(-2) = 2 - 3(-2)^2 = f(a)
Evaluate and use the formula wio has given above to determine the average rate of change.