Everybody Welcome to Our Digital campus
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Transcript of Everybody Welcome to Our Digital campus
EverybodyWelcome to
Our Digital campus
Matuail Bahumukhi High School (A world Class Educational Institute)
Matuail Bahumukhi High School
Class: NineVersion: English
Class Teacher: Shahadat HossainSection: A
Subject: Higher MathematicsTotal students:50
Present Student: 46Absent Student:4Date:21/03/2012
Memory Test
*What do you mean by set ?
** What do you mean by an
empty set.***What do you mean by
relations?
Now let us
go our
today
lesson
Topic name
Function
*To make clear concept about function.
**To make Capability of determine Domain, Range, and Function.
Objective
1234
a
b
c
fig.1: A function
f:A B
FunctionLet A and B be two non empty sets. Then the function f is a relation between A and B in which every element of A corresponds to unique element of B. It is denoted by f :A→B and read as f is a function from A into B.
Example:
Conditions of a function
*1. Fore every element there is an image.
*2. Does not exist more than one image for an element .
*It may two elements has same image for an element .
Which is not a function
abc
1
2
f:A B
f:A B
1
2
a
b
c Which is a function
1234
a
b
c
f:A B
Which is a function
Practical Application of function
A birthday party where only relatives
are allow.
Mr. Mamun
Mrs. Fahmida
Munni
Uncle
Aunt
Sister
NAEM Organized ICT program where only Assistant Teacher are
allow.
Mr. Chitta Ranjon
Mrs. Fahmida
Ruma
Munni
Assistant
teacher
It is a function
It is not function
a
b
c
1
2
34
Here, Df = { }
Rf ={ }
Suppose f : X Y
Some necessary Definition:
Domain : Let f: X Y be a function. Then the permissible value of x which can
take from the set X is called domain of f.
Its denoted by Df.
Range : Let f: X Y be a function. Then the range of f to consists precisely of those elements in Y which are the image of at least one value of X. Its denoted by Rf.
a, b,4 2, 3,c
Determine which function or not
Class work
a
b
c
1
2
34
f:X Y
Fig.: 1
1
2
a
b
c
f-:A B
Fig.: 2
f-:P Q
1
2
3
a
b
c
Fig.: 3
Make sure your Answer
a
b
c
1
2
34
f:X Y
Fig.: 1
1
2
a
b
c
f-:A B
Fig.: 2
f-:P Q
1
2
3
a
b
c
Fig.: 3
It is a function It is not a function It is a function
Evaluation
1. What do you mean by function?
2. What do you mean by Domain, Range.
Assignment
1
2
a
bc
f-:A B
Fig.: 2
5
12-23
f-:A B
Fig.: 1
Creative type Question
a. What do you mean by domain, range?
b. Write down the conditions of function.
c. For figure-1,2, Is f function or not ? write down with cause.
d. Write down range and domain for figure-1,2.
Q1:
You should Attended and submitted you
Assignment next class.
Presented by
SHAHADAT HOSSAINAssistant teacher
Of Mathematics
Matuail Bahumukhi High School, Matuail, Jatrabari,
Dhaka-1362.
THANKS
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