# HL AA – Functions

## Function notation

## Relationships

## Transformations

## Inequalities

## Odd and Even

## Composite functions

## Reciprocals

## 1 over f(x)

## Sums and Roots 1

## Factor theorem

## Function review

## Inverse functions

## Graphical solutions

## Modulus functions

## Sums and roots 2

## Remainder theorem

## Traffic Light Coding for Unit

Make your own copy and share with your students.

##### Learning outcomes

Understanding the concept of a function. |

Substitute and solve equations using algebra. |

Understand the terms domain and range. |

Find the inverse of a function |

Understand the terms one-to-one; many-to-one; one-to-many and their applications to functions and inverses. |

Graph functions with and without a GDC. Note key points on graphs (intersection with axes, maximum and minimum). |

Understand and use composite functions. |

Substitute and solve equations using graphs, including composite functions. |

Using reciprocal graphs, including finding asymptotes from functions with and without sketches. |

Solve intersection of functions using a GDC. |

Transformation of functions: reflections in x and y axes; reflection in y=x line; translations; vertical and horizontal stretches. |

Using the inverse function and the reflection to solve equations. |

Odd and even functions |

Sum and roots of a quadratic equation (alpha and beta values). |

Sum and roots of all polynomial functions, where order is greater than 2. |

Inequalities of functions and their graphs. |

The reciprocal of a function and its graph. |

The modulus of a function and its graph. |

Factor theorem of polynomials. |

Remainder theorem of polynomials. |