A-level · Algebra & functions

Sketching curvesExam-style questions

Drawing a curve from its equation without plotting points. Where it meets the axes, read from the factors; which way the ends go, from the leading term; whether it crosses or touches at each root; reciprocal curves and their asymptotes; finding where two curves meet; and counting meeting points from a sketch or with the discriminant.

Start practising Read the lesson

17 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
It is given that

$\mathrm{f}(x) = x(x + 4)(b - x)$

where $b$ is a positive constant.

Sketch the graph of $y = \mathrm{f}(x)$

(3 marks)
Level 2 · 3 marksTry it