Question

Let ​ f(x)=x2+5x−8​.

Answer 1

Just find the slope
that is ((f(6)-f(2))/(6-2)

f(6)=6^2+5(6)-8=36+30-8=58
f(2)=2^2+5(2)-8=4+10-8=6


average is (f(6)-f(2))/(6-2)=(58-6)/(4)=52/4=13

average rate of change is 13

Answer 2

Answer: 13

Step-by-step explanation:

The average rate of change of a function f(x) from $x_1$ and $x_2$ is given by :-

$A=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

Therefore, for the given function $f(x)=x^2+5x-8$, the average rate of change from x = 2 to x = 6 is given by :-

$A=\frac{f(6)-f(2)}{6-2}\\\\=\frac{(6^2+5(6)-8)-(2^2+5(2)-8)}{4}\\\\=\frac{58-6}{4}\\\\=\frac{52}{4}=13\\\\\Rightarrow A=13$

Hence, the average rate of change from x = 2 to x = 6 is 13.