19M.1.AHL.TZ2.H_5

pestleMathematicsAAHLPaper 119M· sl-2-8-reciprocal-and-simple-rational-functions-equations-of-asymptotessource ↗

Sketch the graph of $y = \frac{{x - 4}}{{2x - 5}}$ , stating the equations of any asymptotes and the coordinates of any points of intersection with the axes.

Markscheme / solution

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

correct shape: two branches in correct quadrants with asymptotic behaviour A1

crosses at (4, 0) and $\left( {0{\text{,}}\,\,\frac{4}{5}} \right)$ A1A1

asymptotes at $x = \frac{5}{2}$ and $y = \frac{1}{2}$ A1A1

[5 marks]

Examiners’ report

[N/A]