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 = _____ |
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Find the domain and range value from the given tabular form:
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Evaluate the range for the given domain and the function.
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Write the domain and range for the given function:
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Check whether the set of ordered pair represent the function, and state true or false.
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Check that the given equation represents the function and state true or false.
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| Which of the given function represents a function?
(a) 4+3x = y8 (b) y5 = -12-x  (c) -2y6=-5+9x (d)(7x2+15)/4 = y2 |
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| Find the domain and range for the given relation:
     Domain = _____      Range = _____ |
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Which of the following statement is true:
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