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)

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

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.
supposeIi 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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