AQA A Level Maths: Pure复习笔记2.8.2 Composite Functions
Composite Functions What is a composite function? A composite function is where one function is applied after another function The ‘output’ of one function will be the ‘input’ of the next on...
Composite Functions What is a composite function? A composite function is where one function is applied after another function The ‘output’ of one function will be the ‘input’ of the next on...
Language of Functions Language of functions The language of functions has many keywords associated with it that need to be understood What are mappings? A mapping takes an ‘inp...
Proportional Relationships Proportional relationships Proportional relationships describe a proportional connection between two variables This can happen in two ways Direct proportion one va...
Solving Equations Graphically Solving (simultaneous) equations graphically This is a way to solve simultaneous equations (see Simultaneous Equations) Coordinates of the intersections are the...
Reciprocal Graphs - Sketching What are reciprocal graphs? Reciprocal graphs involve equations with an Χ term on the denominator e.g. There are two basic reciprocal graphs to know for A level...
Sketching Polynomials Sketching the graph of a polynomial Remember a polynomial is any finite function with non-negative indices, that could mean a quadratic, cubic, quartic or higher power ...
Improper Algebraic Fractions What are top-heavy (improper) rational expressions (or algrbraic fractions)? The degree of the numerator is greater than or equal to the degree of the denominato...
Rational Expressions (Algebraic Fractions) What are rational expressions? Rational numbers are numbers that can be written as a fraction (quotient)Rational comes from ratio – a number is rat...
Polynomial Factorisation What is polynomial factorisation? Factorising a polynomial combines the factor theorem with the method of polynomial division The goal is to break down a polynomial ...
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