Mathematics: Functions and Relations, Lecture notes of Mathematics

The concepts of functions and relations in mathematics. It explains how to determine if a graph represents a function and the different types of correspondences. The document also covers operations on functions and the composition of functions. It includes examples and diagrams to illustrate the concepts. suitable for students studying mathematics at the high school or university level.

Typology: Lecture notes

2021/2022

Available from 01/07/2022

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I LEARNED IN MATHEMATICS, A FUNCTION CAN BE DEFINED AS A RULE THAT

RELATES EVERY ELEMENT IN ONE SET, CALLED THE DOMAIN, TO EXACTLY ONE

ELEMENT IN ANOTHER SET, CALLED THE RANGE. FOR EXAMPLE Y=X+3 AND Y=X2- 1

ARE FUNCTIONS, BECAUSE EVERY X-VALUE PRODUCES A DIFFERENT Y-VALUE. A

RELATION IS ANY OF SET ORDERED-PAIR NUMBERS. AND I UNDERSTAND VARIOUS

TYPES OF PATTERNS AND FUNCTIONAL RELATIONSHIPS; USING SYMBOLIC FORMS

TO REPRESENT AND ANALYZE MATHEMATICAL SITUATIONS AND STRUCTURE; USE

MATHEMATICAL MODELS AND ANALYZE CHANGE IN BOTH REAL AND ABSTRCT

CONTEXTS.