Moderate -0.8 This is a multiple-choice question worth 1 mark testing recognition of oblique asymptotes through polynomial division. Students can either perform quick polynomial division or test the limit behavior, both routine techniques for Further Maths students. The algebraic manipulation is straightforward and the answer can be verified by inspection.
Which of the straight lines given below is an asymptote to the curve
$$y = \frac{ax^2}{x-1}$$
where \(a\) is a non-zero constant?
Circle your answer.
[1 mark]
\(y = ax + a\) \quad\quad \(y = ax\) \quad\quad \(y = ax - a\) \quad\quad \(y = a\)
Which of the straight lines given below is an asymptote to the curve
$$y = \frac{ax^2}{x-1}$$
where $a$ is a non-zero constant?
Circle your answer.
[1 mark]
$y = ax + a$ \quad\quad $y = ax$ \quad\quad $y = ax - a$ \quad\quad $y = a$
\hfill \mbox{\textit{AQA Further Paper 2 2019 Q2 [1]}}