Post on 15-Apr-2017
transcript
WELCOME TO
OUR PRESENTATION
Topic of our presentation: Function
Submitted forMd. Shahjalal Talukdar
Submitted ByMd. Abu RayhanID: 161-15-7189
Sabbir Ahmed AkkharID: 161-15-7534Md. Anik Khan
ID: 161-15-Alif Bin Rahman Khan
ID:161-15-Kaniz Assami
ID: 161-15-7608
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.
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.
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.
Identify the domain and range of the function below.
{ 2, 7), (4, 11), (6, 15), (8, 19)}
The domain is { 2, 4, 6, 8}
The range is { 7, 11, 15, 19}
NB: All input = Domain & All outputs = Range
Graphs
The domain of a function is the set of all the x-coordinates in the functions’ graph
Domain 3 ≤ x ≤ 12
The range of a function is the set of all the y-coordinates in the functions’ graph
Range 6 ≤ y ≤ 12
A One to One function
A function is one to one if no more than one element in the domain is paired with an element in the range.
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
Onto Function
In mathematics, a function f from a set X to a set Y is subjective (or onto), or a surjection, if every
element y in Y has a corresponding element x in X such that f(x) = y. The function f may map more than one element of X to the same element of Y.
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