H2 Maths 1.2 - Sketch a Rational Function with an Oblique Asymptote

What you will learn

• Sketch y = (x^2 - 4) / x, labelling all asymptotes and axial intercepts.
• Split: y = x - 4/x; oblique asymptote y = x; vertical asymptote x = 0 (no y-intercept).
• x-intercepts at x = 2 and x = -2; function is odd, so the graph has rotational symmetry about the origin.