The document discusses functions. It defines a function as a rule that relates variable quantities such that the second is uniquely determined by the first. It notes functions provide exact outputs unlike relations. It explains domains are the independent variable values and ranges are the dependent variable values. An example function is given and its domain and range are identified from its graph. One-to-one and onto functions are briefly explained with examples.

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