Respuesta :

Solution

- The formula for finding the average rate of change of a function over an interval [a, b] is:

[tex]\Delta m=\frac{f(b)-f(a)}{b-a}[/tex]

- Thus, we have that

[tex]\begin{gathered} a=1,b=3 \\ f(a)=-2,f(b)=-10 \\ \\ \Delta m=\frac{-10-(-2)}{3-1} \\ \\ \Delta m=\frac{-8}{2} \\ \\ \Delta m=-4 \end{gathered}[/tex]

Final Answer

The rate of change of the function is -4 (OPTION D)