1. 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