Topical Revision Paper 6 Unit 6 Modulus Functions Students

Topical Revision Paper 6 Term 2 Unit 6: Modulus Functions Question 1: Sketch the graph 3y x a   where 03 a , showing clearly the intercepts with the axes. [3] Question 2: Sketch the graphs of 2yx and 2 34y x x   for the domain 25 x   on the same axes and hence state the number of solutions of the equation 22 3 4x x x    . [5] Answer : No. of solutions = 4 Question 3: The diagram shows part of the graph of 𝑦 = 4 − |2𝑥 − 3|. (i) Find the coordinates of the points A, B and C. [4] (ii) Solve the inequality 4 − |2𝑥 − 3| < 𝑥 − 2. [3] Answer : (i) B ( 3 2, 4), A (− 1 2, 0) , C (3 1 2, 0) (ii) x < ̶ 3 or x > 3 Question 5: Sketch the graphs of 2y = |x – 2| and y = x + 2 for –3 ≤ x ≤ 3. Hence, or otherwise, solve the equation 2 2.2 x x  [5] Answer : 2 3x y