AQA A Level Maths: Pure復(fù)習(xí)筆記2.9.1 Translations
Translations What are graph transformations? When you alter a function in certain ways, the effects on the graph of the function can be described by geometrical transformations With a?transl...
Translations What are graph transformations? When you alter a function in certain ways, the effects on the graph of the function can be described by geometrical transformations With a?transl...
Modulus Functions - Solving Equations Modulus graphs and equations Two non-parallel straight-line graphs would intersect?once If?modulus?involved there?could?be?more?than one intersection De...
Modulus Functions - Sketching Graphs Modulus functions The?modulus?function makes?any?‘input’?positive |x| = x? ?if x ≥ 0? ?|f(x)| = f(x)? ?if f(x) ≥ 0 |x| = -x if x < 0? ?|f(x)| = -f(x)?...
Inverse Functions What is an inverse function? An?inverse?function?is the?opposite?to the original function An inverse function is denoted by The?inverse?of a function only exists if the fun...
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...
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