Page 05 MARKS 9. (a) Find the x-coordinates of the stationary points on the graph with equation ( ) = y f x , where 3 2 ( ) 3 24 = + − f x x x x. (b) Hence determine the range of values of x for which the function f is strictly increasing. 10. The diagram below shows the graph of the function ( ) 4 log = f x x, where 0 > x . y x O (1, 0) (4, 1) f x( )=log4 x The inverse function, f −1, exists. On the diagram in your answer booklet, sketch the graph of the inverse function. 11. (a) A and C are the points ( ) 1, 3, 2 − and ( ) 4, , 4 −3 respectively. Point B divides AC in the ratio 1 : 2. Find the coordinates of B. (b) kAC is a vector of magnitude 1, where 0 > k . Determine the value of k. 4 2 2 2 3 [Turn over
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This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
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