• Chapter 2 – Functions

    When students have completed this lesson they should be able to:

    • Understand the terms function, domain, range, one to one function, inverse function and composition of functions
    • Identify the range of a given function in simple cases, and find the composition of two given functions
    • Determine whether or not a given function is one to one, and find the inverse of a one to one function in simple cases
    • Illustrate in graphical terms the relation between a one to one function and its inverse
    • Understand and use the transformations of the graph of given by  and simple combinations of these
    • Know the shapes of graphs of functions of the form and the shapes of graphs and powers of x