MATA30H3 Lecture Notes - Unit Circle, Function Composition, Trigonometric Functions

• School: UTSC
• Department: Mathematics
• Course: MATA30H3
• Professor: Sophie Chrysostomou

Document Summary

Definition: a function, f , with domain d, is a rule that associates, to each element x d a single real number, y or f (x): the domain of f is often written as dom (f ). The vertical line test : this test is used to determine if a relation is a function. A relation is a function if and only if there are no vertical lines that intersect the graph at more than one point. Functions can be represented by an arrow diagram, by words, by a table of values, by an algebraic rule or by a graph. Example of a function represented by a graph: Thus, f has domain all the values in the interval values in the interval and range all the. These can be read directly from the graph. Definition: if f is a function f and f ( x) = f (x) for all x dom(f ), then f is called an even function.