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Summary Pure Mathematics Revision Notes (Mathematics Edexcel A-Level) CA$10.87   Add to cart
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Summary Pure Mathematics Revision Notes (Mathematics Edexcel A-Level)
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  • Course
  • Pure (9MAO)
  • Institution
  • PEARSON (PEARSON)
  • Book
  • Edexcel A level Mathematics Pure Mathematics Year 2 Textbook e-book

Pure Mathematics Edexcel A-Level Year 1 and 2 revision notes, written by a straight A* student. Includes diagrams and explanations for concepts. Well organised and in order. Includes collated information from class, textbooks and online. Topics include: Quadratics, Graphs and transformations, Fun...

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Document information

  • Yes
  • April 17, 2024
  • 12
  • 2022/2023
  • Summary

Subjects

  • maths
  • a level
  • edexcel
  • pure mathematics
  • trig
  • graphs
  • differentiation
  • integration
  • vectors
  • functions
  • circles
  • quadratics
  • revision notes
  • trigonometry
  • sequences
  • exponentials
  • logarithms
  • radians
  • algebra
  • transf

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More summaries for

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All for this textbook (7)

Written for

  • A/AS Level
  • PEARSON (PEARSON)
  • Mathematics
  • Pure (9MAO)
All documents for this subject (7)

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Content preview

Pure

Pure Mathematics
Quadratics
Domain: The set of possible input values for a function.

Range: The set of possible output values for a function.

Roots: The values of x for which f(x) = 0.


Graphs and transformations
Cubic graphs
Positive Negative



Minimum - positive
Maximum - negative




Quartic graphs
Positive Negative




This graph instead, has two
repeated roots so one curve
just touches the x-axis


Reciprocal graphs
Positive Negative




Page 1 of 12 A Level Mathematics

, Pure
Points of In ection
Curvature: Second derivative/rate of change of the gradient (f’’(x))

Convex function: When f’’(x) > 0

Concave function: When f’’(x) < 0

Point of in ection: When the graph switches from convex to concave (or vice versa) or
when f’’(x) changes sign

Translating graphs
• Translations
• Stretches
• Re ections

Functions and graphs
Mapping
• Functions can only either be one-to-one or many-to-one




Composite functions
• When two or more functions are combined to make a new function




Inverse functions
• The domain of f(x) is the range of f⁻¹(x)
• The range of f(x) is the domain of f⁻¹(x)

Combining transformations




Page 2 of 12 A Level Mathematics


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