|Definition of a Function||
A function f is a rule that assigns to each element x in a set D exactly one element, f(x), in a set E.
All possible inputs that make a function true (all x inputs)
All possible output values of f(x) that make the function true. (all y values)
A symbol that represents an arbitrary number in the domain of a function f.
A symbol that represents a number in the range of f.
|Vertical line test||
A curve in the xy-plane is the graph of a function of x if and only if no vertical line intersects the curve more than once.
|Piecewise defined Functions||
Defined by different formulas in different parts of their domains.
A function f that satisfies f(-x)=f(x) for every number x in its domain.
Function f satisfies f(-x)= -f(x) for every number x in its domain.