## Types of Functions-

IB Maths Tutors should give twenty-two hours for teaching functions and equations as per IBO recommendations. This is my third article on functions in the series of ib mathematics

IB Maths Tutors should give twenty hours in teaching functions and equations.This is my third article on functions in the series of ib mathematics

For the sake of a comprehensive discussion, some standard functions and their graphs are discussed here

For the sake of a comprehensive discussion, some standard functions and their graphs are discussed here.

1.Greatest Integer Function–  This is an interesting function. It is defined as the largest     integer less than or equal to x

y = [x].

For all real numbers, x, this function gives the largest integer less
than or equal to x.

For example:   [1] = 1      [2.5] = 2      [4.7] = 4      [5.3] = 5
Beware!    [-2] = -2      [-2.6] = -3      [-4.1] = -5      [-6.5] = -7

domain=R
range=Z

greatest integer function

## IB Tutors-useful pdfs

I am sharing few documents prepared by experienced IB Tutors

Below is a past year paper for ib mathematics

ib_elite_tutor.com

Below is an important worksheet for Differentiability of Functions

Worksheets_on_Differentiability_(22-09-15)

Below is an important worksheet for logarithms

Worksheets_on_Log

Below is an important worksheet for maxima and minima value of Functions

Worksheets_on_Maxima_&_Minima_(22-09-15)

worksheet of INDUCTION (PMI)

You can request PDF of any IB BOOK, we shall try to provide that to you for free

## IB Mathematics Tutors- types of mathematical function(part-1)

IB Mathematics Tutors should give a fair number of hours in teaching functions.This is my third article on functions in the series of ib mathematics

For the sake of a comprehensive discussion, some standard functions and their graphs are discussed here

For the sake of a comprehensive discussion, some standard functions and their graphs are discussed here
1.Constant Function-
F(x)=k
Domain= ℝ

Range    = {k}

constant-function

Range    = {k}

## 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

1. y=f(x)=√x
Domain D= x≥0

## IB Maths (Part-1)- Functions-An Introduction to functions in Mathematics

### An Introduction to functions in Mathematics

In IB Maths both HL and SL, functions are one of the most important areas of mathematics because they lie at the heart of much of mathematical analysis. The concept of function is easy to understand.
Suppose I say that:

y=x²

where x∈R. This says that y depends on x this can be said that y is a function of x. or

y=f(x)

We can also say that x=√y here x depends on y or x is a function in y or

x=f(y)

so it can be said that a function is an operator which takes an input and gives an output.The input is called independent variable while output is called dependent variable

ib elite tutor explained functions