1. Functions

• understand the terms: function, domain, range (image set), one-one function, inverse function and composition of functions
• use the notation f(x) = sin x, f: x ↦ lg x, (x > 0), f –1(x) and f 2 (x) [= f(f(x))]
• understand the relationship between y = f(x) and y = |f(x)|, where f(x) may be linear, quadratic or trigonometric
• explain in words why a given function is a function or why it does not have an inverse
• find the inverse of a one-one function and form composite functions
• use sketch graphs to show the relationship between a function and its inverse