A hint to get started
Use completing the square before drawing a rational graph
where and b,c are real constants. C has oblique asymptote y=x−5.
(i) Find b. marks
(ii) Given c>9, show C does not cut the x-axis. mark
(iii) For c=13 sketch C, clearly indicating asymptotes, axial intercepts and turning points. marks
[2012/SRJC/Promo/8]
CJC · Review problems · Question 8
A strictly positive completed square rules out numerator zeros.