Modelling with Functions What is a mathematical model? A mathematical model simplifies a real-world situation so it can be described using mathematics which can then be used to make predictions The...
Squared Linear Denominators Partial fractions In partial fractions the common denominator is split into parts (factors) This is the reverse process to adding (or subtracting) fraction...
Linear Denominators What are partial fractions? This is the reverse process to adding (or subtracting) fractions When adding fractions a common denominator is required In partial frac...
Combinations of Transformations What are combinations of graph transformations? When you alter a function in certain ways, the effects on the graph of the function can be described by geomet...
Reflections 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 reflect...
Stretches 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 stretch a...
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) ...
