Given that ppp and qqq are positive constants with p>qp > qp>q,
Sketch, on separate diagrams, the graph with equation
(i) y=∣2x−p∣y = |2x - p|y=∣2x−p∣
(ii) y=∣2x−p∣−qy = |2x - p| - qy=∣2x−p∣−q
Show on each sketch
Solve the equation
∣2x−p∣−q=4x|2x - p| - q = 4x∣2x−p∣−q=4x
giving any solution for xxx in terms of ppp and qqq.
Practise Edexcel A Level Maths Functions and Graphs with exam-style questions for A Level Maths. 100 questions covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.