### Home > AC > Chapter 16 > Lesson 16.9.1.4 > Problem9-54

9-54.

Given the function $f(x)=x^2+3x+2$, show that the average rate of change $x=4$  $x=4+h$ is $11+h$.

$\frac{f(4+h)-f(4)}{4+h-4}=\frac{(4+h)^2+3(4+h)+2-(4^2+(3)(4)+2)}{4+h-4}=?$