INVERSE FUNCTION

by Mr Johari

Source: http://www.mathsisfun.com/sets/function-inverse.html

Inverse Function is an optional topic. However it will be great to know and understand.

QUESTIONS

1. What is the Inverse of an Inverse function?

    Illustrate your answer with an example.

2. Do all Functions have an inverse? Substantiate your statement.

3. How can we illustrate an Inverse Function graphically?

FUNCTION (GRAPHICAL PERSPECTIVE)

by Mr Johari

The previous activities explicated the definitions of Relation and Function.

In the following task you have to use a suitable graphing tool to identify the graph and equation of

(1)  a FUNCTION (many to one)

(2)  a FUNCTION (one to one)

(3)  a Non FUNCTION (one to many)

(4)  a Non FUNCTION (MANY TO MANY)

The graph below is an example.

graph from GEOGEBRA
The above shows a FUNCTION (property one to one)
equation y = x

1.1a THE VENDING MACHINE ANALOGY

by Mr Johari

A function has input and output. A good analogy of this would

be a vending machine.

1. Explain further why this analogy is used to depict a function?
2. Can you think of other analogy?
3. What are the assumptions made?

www.wearevending.com

FUNCTION & RELATION : CONCEPT

by Mr Johari

source: http://www.regentsprep.org/Regents/math/ALGEBRA/AP3/LFunction.htm

 In Short:

FUNCTION & RELATION : GAME

Play this game with a partner. See if you can guess the rule. Be nice!  Post your rule as a comment.

Thank you for the vibrant class comment - these are the answers!