If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then we say that y is a function of x.

Where x is input value while y is a output. Where a function cannot assign two different outputs to the same input. If we take any function

This equation expresses as a function of ; the variable is called the independent variable, and the variable is called the dependent variable.

There are two types of intervals Finite intervals

Infinite intervals

An inequality is any expression involving one of the symbols EXAMPLE: Solve the following inequalities:

Solution :

The solution set is open interval

First must be greater than zero

The absolute value of a number, denoted by is defined by the formula

EXAMPLE : Finding Absolute Values

If a is any positive number, then if and only if if and only if if and only if if and only if if and only if EXAMPLE : Solve the following inequalities

Solution :

FunctionDomain (x)Range (y)

1

2

4

5

I and g are functions, the composite function ( composed with g) is defined by

EXAMPLE:

Solution

1