We want to find the average rate of change of the function
[tex]f(x)=x^3-1[/tex]On the interval;
[tex]x=-2,x=3[/tex]The average rate of change could be found by;
[tex]m=\frac{f(3)-f(-2)}{3-(-2)}[/tex][tex]\begin{gathered} f(3)=3^3-1=27-1=26 \\ f(-2)=(-2)^3-1=-8-1=-9 \end{gathered}[/tex]Thus, the average rate of change m is;
[tex]\begin{gathered} m=\frac{26-(-9)}{3-(-2)} \\ m=\frac{35}{5} \\ m=7 \end{gathered}[/tex]Therefore, the average rate of change of f(x) is 7
