Answer:
The average rate of change of g(z) =4x^2_5 between the points( -2,11) and (2,11) is 0.
Step-by-step explanation:
Given a function y, the average rate of change S of [tex]y=g(z)[/tex] in an interval [tex](z_{s}, z_{f})[/tex] will be given by the following equation:
[tex]S = \frac{g(z_{f}) - g(z_{s})}{z_{f} - z_{s}}[/tex]
In this problem, we have that:
[tex]g(z) = 4z^{2} - 5[/tex]
Between the points( -2,11) and (2,11).
So [tex]z_{f} = 2, z_{s} = -2[/tex]
[tex]g(z_{f}) = g(2) = 4*(2)^{2} - 5 = 11[/tex]
[tex]g(z_{s}) = g(-2) = 4*(-2)^{2} - 5 = 11[/tex]
So
[tex]S = \frac{g(z_{f}) - g(z_{s})}{z_{f} - z_{s}} = \frac{11 - 11}{2 - (-2)} = \frac{0}{4} = 0[/tex]
The average rate of change of g(z) =4x^2_5 between the points( -2,11) and (2,11) is 0.
