Turn over 29  Question 10 continued _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 10 is 6 marks) 30   11. y x O Figure 4 Figure 4 shows a sketch of the graph with equation y = | 2x – 3k | where k is a positive constant. (a) Sketch the graph with equation y = f (x) where f (x) = k – | 2x – 3k | stating • the coordinates of the maximum point • the coordinates of any points where the graph cuts the coordinate axes (4) (b) Find, in terms of k, the set of values of x for which k – | 2x – 3k | > x – k giving your answer in set notation. (4) (c) Find, in terms of k, the coordinates of the minimum point of the graph with equation y = 3 – 5f  1 2 x (2) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________