Relations and Functions
A relationis defined to be any set of ordered pairs.
Representation of Relations
- Set Notation
- Mapping Diagram
A relation in which corresponding to every input there is only one output is called a function.
The symbol f(x) is read as "the value of f atx" or simply " f of x " . It doesnot mean f times x. f(x) is called the <u>function notation.
Evaluating a Function
Consider the function f(x) .To evaluate f(a)
- Replace all x`s witha in the definition of f(x)
- Simplify the expression
Example : Let f(x) = 2x -3 .Find f(-1)
Solution :f(-1) = 2(-1) -3