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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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