Relations and Functions Worksheet
What is the Relation?
Relations can be described as a set of ordered pairs. Let’s look at some examples of relation, such as:
 {(1,0) , (25,50)}
 {(Mon, Sun), (Tue, Sat)}
Where { } denotes the set symbol.
A relation is a correspondence among two or sets (known as the domain and range) such that there are one or more elements assigned to every element or member of the domain.
Example 1
(2, 4), (2, 3), (3, 7), (5, 2) is a relation of
Domain {2, 3, 5}
Range {2, 3, 4, 7}
What is Function?
A relation “f” from set “X” to set “y” is said to be a function, if every element of set X has only one image in set Y. The function is symbolically represented as f : X →Y. It means that the f is a function from set X to set Y , X is called the domain of function “f’ and Y is called the codoamin of the function “f”.
Worksheet on Relations and Functions
Solve the problems on relations and functions given below:
Determine the domain and range of the given functions:
{17, 9), (10, 5), (8, 3), (8, 4), (6, 14)} Range =_____ Domain = _____ {(5, 5), (3,8), (5,4), (7,5), (13, 8), (6, 2)} Range = _____ Domain = _____ 

Find the domain and range value from the given tabular form:


Evaluate the range for the given domain and the function.


Write the domain and range for the given function:


Check whether the set of ordered pair represent the function, and state true or false.


Check that the given equation represents the function and state true or false.


Which of the given function represents a function?
(a) 4+3x = y^{8} (b) y^{5} = 12x (c) 2y^{6}=5+9x (d)(7x^{2}+15)/4 = y^{2} 

Find the domain and range for the given relation:
Domain = _____ Range = _____ 

Which of the following statement is true:
