• Chapter 3 – Functions and Graphs

     

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

    • Understand function notation, and the terms “domain” and “range”

    • Know the shapes of graphs and powers of x

    • Know the shapes of graphs of functions of the form

    • Suggest possible equations of such functions from their graphs

    • Know how to use factors to sketch graphs

    • Find the point(s) of intersection of two graphs

     

    Chapter 11 – Combining and Inverting Functions

     

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

    • Use correct language and notation associated with functions

    • Know when functions can be combined by the operation of composition, and be able to form the composite function

    • Appreciate that a sequence can be regarded as a function whose domain is the natural numbers, or a consecutive subset of the natural numbers

    • Know the “one-one” condition for a function to have an inverse, and be able to form the inverse function

    • Know the relationship between the graph of a one-one function and the graph of its inverse function