Curve Sketching 1 (AQA A-Level Further Maths): Quizzes

$y = \frac{ax^2 + bx + c}{dx^2 + ex + f}$

Intercepts, Asymptotes, Range, Turning pts

Substitute $x = 0$ and solve for $y$

The numerator (check denominator ≠ 0)

Solve denominator = 0

$y = \frac{a}{d}$

Yes, at specific finite x-values

$b^2 - 4ac \geq 0$

At boundary values of the range

When discriminant of denominator < 0