Summary Pure Mathematics Revision Notes (Mathematics Edexcel A-Level)
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Course
Pure (9MAO)
Institution
PEARSON (PEARSON)
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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...
Flashcards of Key Equations for Pure Mathematics A-Level (year 2)
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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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