• 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