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:li+:!i1lt:i!:::,::i:it:::]1: ii::ili::iil:i: ji:i],:;r:::i: ti]::l:i:,'::::tt: Paper L Time: TWo hours This paper consistsof 25 questions. Answer all questions. Giue only one answer for question. Write your answers clearly in the spaces prouidedin thequestion paper.Working steps help you to getmarhs. Scientificcalculators that are non-programmableare allowed. Diagram 1 shows the relation between set P and set I. Set P Set @ Diagram 1 State (a) the range of the relation, (b)the type of the relation. 12 marksl Answer: (a) (b) Given the functions h : x ->4x + m and h-l find the value of m and of k. : x -+2kx +$, *hete m and ft are constants, 8 ' L3 marhsl Given the functionh(x)= 9 , * JC (a)s(r). (b) tlre valueof r when gh(x) = Answer: m = b- * 0 and the composite function hg(x) = 3r, find 5. [4 martts] Answer:(a) g(r) = 27 (b)r= tlirom thequadratic equation which has the roots -3. U + Give your answer in the farmaxz + bx +c= 0, where a,b and, c are constants. 12 marks) Answer: 2 shows thegraphof the function ! = -(x - k)2 - 2, where ft is a constant. Diagram 2 the value of &, (b) the equation of the axis of s5rmmetry, (c) the coordinates of themaximum point. rfind therangeof values of r forwhich x(x - 4) < 12. Find Solve the equation 324 - 4e + 6 Answer : (b) (c) [3 rnarks] I3marksl Answer: 6)k- 29 Ansuter: x = 13 marksj Given that logu 2 =rn and logu 'l = p, express logu 4.9 in terms of m and p. 14 rnarksl Givena geometricprogression y, 2, Answer: ..., express pin terms of y. 12 marksl Answer;'p = Givenan arithmetic progression -7, -3, 1, ..., state three consecutive terms inthis progression whieh sum up to 75. [3 marks]Answer: 4 _,F v lbe volume ofwater in a tank is 450 litres on the first day. subsequently, 10 water is added to the tank everyday. Calculate the volume, in litres, of water in the tank at the end of the Tth day. Answer: E-pressthe recurring decimal 0.969696 ... asa fraction in its simplest form. litresof 12 marksl litres Answer: 14 m.arksl Diagram 3 Diagram3 shows a straight line graph of J against r. Given that y - 6x - 12, calculate thevalue of k and, of h. 13 marksl I Answer: k -h- I)iagram4 shows a straight line PQ with the equation t * t = t. the point P lies onthe r-axis and thepoint Q lies on they-axis.Diagram 4 Findthe nrurronof the straight line perpendicular to PQandpassing throughthepoint Q. 13 marksl Answer: tbe point A is (-1, 3) and the point B is (4,6). Thepoint P moves such 't'ina tne equationof the locusof P.that, PA: PB = 2 :3. [3marks] Answer:
