Functions

Functions: Domain, Range, Composition and InversesSign 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

Transformations of GraphsSign up

be able to sketch graphs of quadratic, cubic, reciprocal and simple rational functions, identifying key features (intercepts, asymptotes, turning points) · understand the effect of the transformations y = f(x) + a, y = f(x + a), y = af(x) and y = f(ax) on the graph of y = f(x), and apply these to sketch transformed curves