You must understand the meaning and structure of function notation. Functions can be defined and described in various ways.

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## Glossary

### function

A rule that connects one value in one set with one and only one value in another set.

### union

The union of two sets A and B is the set containing all the elements of A and B.

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic |
---|---|---|---|

AP Calculus AB (USA) | 2 | Algebra and Functions | Functions |

AP Calculus BC (USA) | 2 | Algebra and Functions | Functions |

AQA A-Level (UK - Pre-2017) | C3 | Algebra and Functions | Functions |

AQA A2 Maths 2017 | Pure Maths | Functions and Transformations | Functions and Mappings |

AQA AS/A2 Maths 2017 | Pure Maths | Functions and Transformations | Functions and Mappings |

CBSE XII (India) | Relations and Functions | Relations & Functions | Types of relations, reflexive, symmetric, transitive and equivalence |

CBSE XI (India) | Sets and Functions | Relations & Functions | Elementary functions: exp, log sign, polynomial, rational |

CCEA A-Level (NI) | C4 | Algebra and Functions | Functions |

CIE A-Level (UK) | P1 | Algebra and Functions | Functions |

B Algebra and Functions | B8 Further Functions | Functions | |

Edexcel A-Level (UK - Pre-2017) | C3 | Algebra and Functions | Functions |

Edexcel A2 Maths 2017 | Pure Maths | Functions and Graphs | Functions and Mappings |

Edexcel AS/A2 Maths 2017 | Pure Maths | Functions and Graphs | Functions and Mappings |

I.B. Higher Level | 2 | Algebra and Functions | Functions |

I.B. Standard Level | 2 | Algebra and Functions | Functions |

Methods (UK) | M2 | Algebra and Functions | Functions |

I.B. (MSSL) | 4 | Algebra and Functions | Functions |

OCR A-Level (UK - Pre-2017) | C3 | Algebra and Functions | Functions |

OCR A2 Maths 2017 | Pure Maths | Functions and Transformations | Functions and Mappings |

OCR MEI A2 Maths 2017 | Pure Maths | Functions and Transformations | Functions and Mappings |

OCR-MEI A-Level (UK - Pre-2017) | C3 | Algebra and Functions | Functions |

Pre-U A-Level (UK) | 1 | Algebra and Functions | Functions |

Scottish Advanced Highers | M1 | Algebra and Functions | Functions |

Scottish (Highers + Advanced) | HM1 | Algebra and Functions | Functions |

Scottish Highers | M1 | Algebra and Functions | Functions |

Universal (all site questions) | A | Algebra and Functions | Functions |

WJEC A-Level (Wales) | C3 | Algebra and Functions | Functions |