The first and second derivatives of a certain function, $f$, are as given:
$f'(x) = \frac{x^2 - 5x}{(x - 2)^2}$ and $f''(x) = \frac{x + 10}{(x - 2)^3}$
In addition, you have the following information about $f$:
$f(0) = 4$, $f(5) = 2$, $f(-10) = -5.5$, and $f(2)$ is undefined
Use this to sketch the graph of $f$. Label intervals of increase/decrease, local maximum/minimum points, concavity, and inflection points.