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Relations and Functions | CBSE Class 12 Maths | Neha Agrawal Mam | Vedantu Math Video Lecture - JEE

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FAQs on Relations and Functions - CBSE Class 12 Maths - Neha Agrawal Mam - Vedantu Math Video Lecture - JEE

1. What is the difference between relations and functions in mathematics?

Ans. Relations and functions are both concepts in mathematics, but they have distinct characteristics. A relation is a set of ordered pairs, where each ordered pair consists of two elements from different sets. On the other hand, a function is a special type of relation in which each element of the first set is paired with exactly one element from the second set. In simpler terms, a function is a relation that assigns a unique output to each input.

2. How can we determine if a relation is a function or not?

Ans. To determine if a relation is a function or not, we use the concept of the vertical line test. If every vertical line intersects the graph of the relation at most once, then the relation is a function. This means that for each input value, there is only one corresponding output value. However, if a vertical line intersects the graph at more than one point, then the relation is not a function.

3. What is the domain and range of a function?

Ans. The domain of a function is the set of all possible input values or the independent variable. It represents the values for which the function is defined. The range of a function, on the other hand, is the set of all possible output values or the dependent variable. It represents the values that the function can take.

4. How can we determine the domain and range of a function from its graph?

Ans. To determine the domain and range of a function from its graph, we look at the x-axis for the domain and the y-axis for the range. The domain is the set of all x-values for which the graph is defined. It includes all the points on the x-axis that correspond to the graph. The range is the set of all y-values that the graph takes. It includes all the points on the y-axis that correspond to the graph.

5. Can a function have the same output for different input values?

Ans. No, a function cannot have the same output for different input values. According to the definition of a function, each input value should be paired with exactly one output value. This means that each input should have a unique output. If a function has the same output for different input values, it violates this rule and is not considered a function.

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	Nov 16, 2024 Last updated

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