Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the function is not given. However, the following explanation will guide you.
The average rate of change is calculated using;
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex](a,b) = (-1,5)[/tex]
Take for instance;
The function is:
[tex]f(x) = 2x[/tex]
We have to solve for f(-1) and f(5);
i.e.
[tex]f(-1) = 2 * -1 -2[/tex]
[tex]f(5) = 2 * 5 = 10[/tex]
Substitute -1 for a and 5 for b
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
[tex]A = \frac{f(5) - f(-1)}{5 - (-1)}[/tex]
[tex]A = \frac{f(5) - f(-1)}{5 +1)}[/tex]
[tex]A = \frac{f(5) - f(-1)}{6}[/tex]
Substitute values for f(5) and f(-1)
[tex]A = \frac{10 - (-2)}{6}[/tex]
[tex]A = \frac{10 +2}{6}[/tex]
[tex]A = \frac{12}{6}[/tex]
[tex]A = 2[/tex]
Apply this steps in your work
