Question 6 - A-Level Maths

Exam Board	CAIE
Module	FP1 (Further Pure Mathematics 1)
Year	2010
Session	June
Topic	Polynomial Division & Manipulation

6 The curve $C$ has equation $$y = \frac { x ^ { 2 } - 3 x - 7 } { x + 1 }$$

Obtain the equations of the asymptotes of $C$.
Show that $\frac { \mathrm { d } y } { \mathrm {~d} x } > 1$ at all points of $C$.
Draw a sketch of $C$.