Functions & Inverses Past Papers & Solutions PDF

Compiled by Navan Mudali Functions & Inverses - Past Papers & Solutions November 2008 Page 1 of 114 Compiled by Navan Mudali Page 2 of 114 Compiled by Navan Mudali...

Compiled by Navan Mudali Functions & Inverses - Past Papers & Solutions November 2008 Page 1 of 114 Compiled by Navan Mudali Page 2 of 114 Compiled by Navan Mudali Page 3 of 114 Compiled by Navan Mudali Page 4 of 114 Compiled by Navan Mudali Page 5 of 114 Compiled by Navan Mudali Page 6 of 114 Compiled by Navan Mudali November 2009 Page 7 of 114 Compiled by Navan Mudali Page 8 of 114 Compiled by Navan Mudali Page 9 of 114 Compiled by Navan Mudali Page 10 of 114 Compiled by Navan Mudali Page 11 of 114 Compiled by Navan Mudali Page 12 of 114 Compiled by Navan Mudali Page 13 of 114 Compiled by Navan Mudali February 2010 Page 14 of 114 Compiled by Navan Mudali Page 15 of 114 Compiled by Navan Mudali Page 16 of 114 Compiled by Navan Mudali Page 17 of 114 Compiled by Navan Mudali Page 18 of 114 Compiled by Navan Mudali Page 19 of 114 Compiled by Navan Mudali November 2010 Page 20 of 114 Compiled by Navan Mudali Page 21 of 114 Compiled by Navan Mudali Page 22 of 114 Compiled by Navan Mudali Page 23 of 114 Compiled by Navan Mudali Page 24 of 114 Compiled by Navan Mudali Page 25 of 114 Compiled by Navan Mudali Page 26 of 114 Compiled by Navan Mudali Page 27 of 114  Compiled by Navan Mudali February 2011 QUESTION 5 3 Consider the function f ( x )   2. x 1 5.1 Write down the equations of the asymptotes of f. (2) 5.2 Calculate the intercepts of the graph of f with the axes. (3) 5.3 Sketch the graph of f on DIAGRAM SHEET 1. (3) 5.4 Write down the range of y =  f (x). (1) 3 5.5 Describe, in words, the transformation of f to g if g ( x )   2. (2) x 1 QUESTION 6 A parabola f intersects the x-axis at B and C and the y-axis at E. The axis of symmetry of the x 7 parabola has equation x  3. The line through E and C has equation g ( x)  . 2 2 y x B 3 O C g E f 6.1 Show that the coordinates of C are (7 ; 0). (1) 6.2 Calculate the x-coordinate of B. (1) Page 28 of 114  Compiled by Navan Mudali 6.3 Determine the equation of f in the form y  a( x  p ) 2  q. (6) 6.4 Write down the equation of the graph of h, the reflection of f in the x-axis. (1) 6.5 Write down the maximum value of t(x) if t(x) = 1 – f(x). (2) 6.6 Solve for x if f (x 2  2)  0. (4) QUESTION 7 x 1 Consider the function f ( x)   . 3 7.1 Is f an increasing or decreasing function? Give a reason for your answer. (2) 1 7.2 Determine f ( x) in the form y = … (2) 7.3 Write down the equation of the asymptote of f(x) – 5. (1) 7.4 Describe the transformation from f to g if g ( x)  log3 x. 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