FACT SHEET:

ALGEBRA OF FUNCTIONS

Basic Operations

Composite Functions

Domains and Ranges Domain: The initial values that go into a Function. Range: The set of values that is outputted from a Function. Function: A Relation, which is any assignment of , where there is exactly one instance of each value of the Domain. Vertical Line Test: A test to determine whether a Relation is, in fact, a Function.

If is a Function, then should intersect with the Relation exactly once for all values of .

Odd & Even Functions Odd Function:

Odd Functions have Rotational Symmetry of Radians about the Origin. e.g.

Even Function:

Even Functions have Reflectional Symmetry about the y-Axis. e.g.

Standard Composite Results If is ODD and is EVEN:

Principle Domain of the Trigonometric Functions