PLEASE ADDRESS ALL QUESTIONS DONT FORGET TO NUMBER THEM, ANSWER ALL ON PAPER

l. 3. I If f (X) ' (3-4) what are the coordinates of _3f(3X)+ I ? (6 marks: 1 mark for each transformation, 1 mark if done in the correct order) Given the graph of l" = f (\")below, on the same set of axes draw a graph of Y = 2' (X ' U- 3 (4 marks: 1 mark for each transformation, 1 mark if done in the correct order) Below is a graph off(")' (\"'3\"). (3 marks: 1 mark for each correctly plotted point) On the same set of axes plot and label: a) f ('x ) b) -f (X) On the same set of axes plot and label: a) f(-X ) b) x} C) 1"" (X) 4. Given the graph of F = f Whelow, on the same set of axes draw a graph of Y = f1"). (2 marks: 1 mark for the concept (x,y) (y,x), 1 mark for correct order of plotting) 5. Is the inverse of a function always a function? Explain your reasoning and include a sketch that supports your answer. (4 marks: 1 mark for answer, 1 mark for diagram, 2 marks for explanation)