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Number of relation, Function in terms of relation - Relations & Functions Video Lecture - Class 11

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1. What is a relation in terms of functions?

Ans. A relation is a set of ordered pairs where each input has a corresponding output. In terms of functions, a relation is said to be a function if each input has only one corresponding output. In other words, for every value of x, there can only be one value of y.

2. How is the number of relations related to the number of functions?

Ans. The number of relations is generally greater than the number of functions. This is because a relation can have multiple outputs for a given input, whereas a function can only have one output for each input. Therefore, the number of functions is a subset of the number of relations.

3. What is the difference between a relation and a function?

Ans. A relation is a general concept that describes the association between two sets of elements, whereas a function is a special type of relation. The main difference between a relation and a function is that a relation can have multiple outputs for a given input, whereas a function has only one output for each input.

4. Can a relation be a function if it has multiple outputs for a given input?

Ans. No, a relation cannot be a function if it has multiple outputs for a given input. A function requires each input to have only one corresponding output. If a relation has multiple outputs for a given input, it violates the definition of a function.

5. How can we determine if a relation is a function?

Ans. To determine if a relation is a function, we can use the vertical line test. If a vertical line intersects the graph of the relation at more than one point, then the relation is not a function. Alternatively, we can check if each input has only one corresponding output in the relation. If each input has only one output, then the relation is a function.

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	Nov 24, 2024 Last updated

Number of relation, Function in terms of relation - Relations & Functions for Class 112024 is part of Class 11 preparation. The notes and questions for Number of relation, Function in terms of relation - Relations & Functions have been prepared according to the Class 11 exam syllabus. Information about Number of relation, Function in terms of relation - Relations & Functions covers all important topics for Class 112024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Number of relation, Function in terms of relation - Relations & Functions.

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