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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 286

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]
Markscheme

1.5 B: Algebra and functions Questions

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

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, 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). Each one has a worked solution and a mark scheme showing where the marks go.

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