The document is a presentation on functions that was submitted by several students. It defines a function as a rule that relates variable quantities such that the second is uniquely determined by the first. It distinguishes functions from relations by noting functions provide a single output for each input. The domain is defined as the set of all independent variable values, while the range is the set of all dependent variable values. Examples of one-to-one and onto functions are provided.

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
)( xxf 

11. Onto Function

12. THANK YOU FOR WATHCHING