Answer: 13
Step-by-step explanation:
The average rate of change of a function f(x) from [tex]x_1[/tex] and [tex]x_2[/tex] is given by :-
[tex]A=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Therefore, for the given function [tex]f(x)=x^2+5x-8[/tex], the average rate of change from x = 2 to x = 6 is given by :-
[tex]A=\frac{f(6)-f(2)}{6-2}\\\\=\frac{(6^2+5(6)-8)-(2^2+5(2)-8)}{4}\\\\=\frac{58-6}{4}\\\\=\frac{52}{4}=13\\\\\Rightarrow A=13[/tex]
Hence, the average rate of change from x = 2 to x = 6 is 13.
