Linear Rational Functions (AQA A-Level Further Maths): Quizzes

$y = \frac{ax + b}{cx + d}$

Set $y = 0$ and solve; numerator = 0

$x = 4$

Rearrange to make $x$ the subject, then set denominator = 0

$(0, -\frac{a}{2})$

Lines the curve approaches but never touches

Find intercepts and asymptotes

Sketch both functions and find intersections

To determine end behavior near horizontal asymptote

Using wrong form; must make $x$ the subject