Home MATHEMATICS TOPIC 2: FUNCTIONS ~ MATHEMATICS FORM 3

TOPIC 2: FUNCTIONS ~ MATHEMATICS FORM 3

1344
10
SHARE

FUNCTIONS

Normally relation deals with matching of elements from the first set called

DOMAIN with the element of the second set called RANGE.
Definitions:
A
function is a relation with a property that for each element in the
domain there is only one corresponding element in the range or co-
domain
Therefore functions are relations but not all relations are functions
The Concept of a Functions Pictorially
Explain the concept of a functions pictorially
Example 1
Which of the following relation are functions?
Solution
  1. It is not a function since 3 and 6 remain unmapped.
  2. It is not a function because 2 has two images ( 5 and 6)
  3. It is a function because each of 1, 2, 3 and 4 is connected to exactly one of 5, 6 or 7.
Functions
Identify functions
TESTING FOR FUNCTIONS;
If
a line parallel to the y-axis is drawn and it passes through two or
more points on the graph of the relation then the relation is not a
function.
If it passes through only one point then the relation is a function
Example 2
Identify each of the following graphs as functions or not.
Exercise 1
1. Which of the following relations are functions?
2. Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
and B ={ 2, 3, 5, 7 }
Draw an arrow diagram to illustrate the relation “ is a multiple of ‘ is it a function ? why?
3. let A = {1,-1 ,2,-2} and
B = {1, 2, 3, 4 } which of the following relations are functions ?
  1. { ( x , y ) : x < y }
  2. { ( x , y ) : x > y}
  3. { ( x , y ) : y = x2}

10 COMMENTS

  1. I know this if off topic but I’m looking into starting my own blog and was
    curious what all is needed to get setup?
    I’m assuming having a blog like yours would cost a pretty penny?
    I’m not very web savvy so I’m not 100% certain. Any suggestions or advice would be greatly appreciated.
    Cheers 0mniartist asmr

  2. I love your blog.. very nice colors & theme. Did you design this website
    yourself or did you hire someone to do it for you?
    Plz answer back as I’m looking to create my own blog and would like to
    find out where u got this from. cheers 0mniartist asmr

  3. My brother suggested I may like this blog. He was entirely right.
    This put up truly made my day. You can not consider simply how much time I had spent
    for this information! Thank you! asmr 0mniartist

  4. Wow, wonderful blog layout! How long have you been blogging for?
    you make blogging look easy. The overall look of your web site is great,
    as well as the content! asmr 0mniartist

  5. Today, while I was at work, my cousin stole
    my apple ipad and tested to see if it can survive a forty foot drop, just so she can be a
    youtube sensation. My apple ipad is now destroyed and she has 83 views.
    I know this is entirely off topic but I had to share it with someone!
    asmr 0mniartist

  6. Hey there! Do you know if they make any plugins to assist with Search Engine Optimization? I’m
    trying to get my blog to rank for some targeted keywords but I’m not
    seeing very good success. If you know of any please share.
    Thank you! asmr 0mniartist

  7. Hello my loved one! I want to say that this post is amazing, nice written and include almost all significant infos.
    I would like to look extra posts like this . 0mniartist asmr

LEAVE A REPLY

Please enter your comment!
Please enter your name here