Algebra and Functions

Partial FractionsSign up

be able to express a proper rational function as a sum of partial fractions when the denominator factorises into distinct linear factors, repeated linear factors or a linear and a quadratic factor · be able to reduce an improper rational function to a polynomial plus a proper rational function before decomposing into partial fractions

The Modulus FunctionSign up

understand the definition |x| of the modulus function and be able to sketch graphs of y = |f(x)| and y = f(|x|) · be able to solve equations and inequalities involving the modulus function algebraically and graphically

Composite and Inverse FunctionsSign up

understand the definitions of one-one, many-one and inverse functions, and the domain and range of a function · be able to form composite functions fg(x) and inverse functions f^(-1)(x), and sketch the graph of an inverse as the reflection of the graph of f in the line y = x