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1.5 B: Algebra and functions

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Question 252

Given that ppp and qqq are positive constants with p>qp > qp>q,

a.

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

  • the coordinates of the minimum point on the graph
  • the coordinates of the point at which the graph crosses the yyy-axis
[4]
b.

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.

[4]

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

Practise AQA A Level Maths 1.5 B: Algebra and functions with exam-style questions for A Level Maths. 358 questions covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only), matched to the AQA A Level Maths (7357) 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.

Question bank