26 y 24 – 3 0 4 x – 18 f(x) = x(x + 2)(x – 3) (a) On the diagram, sketch the graph of y = f(x) for –3 x 4 . Show the values of the intersections with the axes. [3] ⩽ ⩽ (b) Expand and simplify. x(x + 2)(x – 3) ............................................... [3] (c) A is the point (1, –6). The tangent to the graph of y = f(x) at A meets the y-axis at B. Find the coordinates of B. ( .................... , .................... ) [5] © Cambridge University Press & Assessment 2022 0580/02/SP/25 18 BLANK PAGE Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (Cambridge University Press & Assessment) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. Cambridge Assessment International Education is part of Cambridge University Press & Assessment. Cambridge University Press & Assessment is a department of the University of Cambridge. © Cambridge University Press & Assessment 2022 0580/02/SP/25