In this mathematics lesson students learn how to find the output of composite functions using the correct notation. As learning progresses they are challenged to generalise outputs in terms of x.
Differentiated Learning Objectives
- All students should be able to use a function machine to break down the composite functions in the form gf(x).
- Most students should be able to generate outputs from composite functions and realise that fg(x) does not give the same output as gf(x).
- Some students should be able to use algebra to determine the input of a composite function when given the output.