For a function f(z) and a particular input value z = a, then we may write the difference
quotient as
f(a+h)-f(a)
h
where h 0.
Now, let f(z)=z³-14z and consider the input value a = 3. We could now write the
difference quotient as
f(3+h)-f(3)
h
where h / 0.
Use this difference quotient to calculate the average rate of change of f(z) from z = 3 to
z=3+h for the following particular values of h.
When h = 0.2, the average rate of change of f(z) is
When h= 0.1, the average rate of change of f(z) is
When h= 0.01, the average rate of change of f(a) is
When h= -0.01, the average rate of change of f(z) is
When h-0.1, the average rate of change of f(z) is
When h=-0.2, the average rate of change of f(z) is