## IB Mathematics (part-2)-Domain and Range of a function

In IB Mathematics both HL and SL, functions are one of the most important areas because they lie at the heart of much of mathematical analysis.here I am discussing domain and range of a function

**Domain of a Function**

Suppose I say that f is a real function.This means that for real input, the output should be real. For example

** F(x)=√x**

if** F** is real, then x can only take non-negative values because only then the output will be real. Set of all real values of R is called domain

**“Domain is the set of all possible inputs for which the output is real ”**

In some cases, x is defined explicitly. for example,

** y=f(x**)

** =x²**; **1<x>2** here domain is defined explicitly as **(1,2)**

If no domain is mentioned explicitly, the domain will be assumed to be such that “F” produces real output

These are a few examples

**y=f(x)=√x**

Domain**D= x≥0**