functions

2. Topic of our presentation: Function
Submitted for
Md. Shahjalal Talukdar
Submitted By
Md. Abu Rayhan
ID: 161-15-7189
Sabbir Ahmed Akkhar
ID: 161-15-7534
Md. Anik Khan
ID: 161-15-
Alif Bin Rahman Khan
ID:161-15-
Kaniz Assami
ID: 161-15-7608

3. What is Function?
Ans: A function is a rule which relates the values of one variable quantity to the
values of another variable quantity, and does so in such a way that the value of the
second variable quantity is uniquely determined by the value of the first variable
quantity.

4. Functions vs. Relations
 A "relation" is just a relationship between sets of information.
 A “function” is a well-behaved relation, that is, given a starting
point we know exactly where to go.

5. What are the domain and range of a
function?
 The domain is the set of all the values of the independent variable,
the x-coordinate.
 The range is the set of all the values of the dependent variable, the y-
coordinate.

6. Identify the domain and range of
the function below.
{ 2, 7), (4, 11), (6, 15), (8, 19)}

7. Graphs

8. The range of a function is the set of all the y-
coordinates in the functions’ graph
Range 6 ≤ y ≤ 12

9. A One to One function

10. Examples of one to one functions
Note every Uppercase number has exactly one lower case partner
A
B
C
A
B
C
a
b
c
1. f (x) = 3x +5
2.
3. All odd functions
3
)
( x
x
f 

11. Onto Function

12. THANK YOU FOR WATHCHING