CPM Homework Help : PC Problem 9-54

Given the function f(x) = x² + 3x + 2, show that the average rate of change between the points x = 4 and x = 4 + h is 11 + h. Homework Help ✎

Hint:

$\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}=?$$

More Help:

Most errors occur distributing the negative sign in the numerator.