Ib Maths Tutors-Types of functions(part-3)

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

<img src="ibmathstutors.jpg" alt="ibmathstutors">

greatest integer function

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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

<img src="demo.png" alt="demo">

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}                                       

<img src="constant-function.jpg" alt="constant-function">

constant-function

                                   
Range    = {k}

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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

<img src="functions.jpg" alt="functions">

ib elite tutor explained functions

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How to Become a Good Learner in Classroom or in Online sessions

Every moment of our life offers something to learn.We should always be ready to grab the opportunity.In this post, I have tried to identify characteristics of a good learner in classroom as well as with online tutors

Positive Attitude- A positive attitude plays a very important part in improving our learning capacities.Actually, its the backbone of our learning capacities.If we believe that we can do it, we will surely be able to accomplish the work <img src="good learner.png" alt="good learner"> Read more