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FAQs on Mind Map: Relations & Functions - CSAT Preparation - UPSC

1. What is the definition of a relation?
Ans. A relation is a set of ordered pairs that establishes a connection between elements of two sets.
2. What is the difference between a function and a relation?
Ans. A relation is a set of ordered pairs that connects elements from two sets, whereas a function is a special type of relation in which each element in the domain set is connected to exactly one element in the range set.
3. What is the domain and range of a function?
Ans. The domain of a function is the set of all possible input values, while the range is the set of all possible output values.
4. How can you determine if a relation is a function?
Ans. To determine if a relation is a function, you can use the vertical line test. If any vertical line intersects the graph of the relation at more than one point, then the relation is not a function.
5. What are the different types of functions?
Ans. There are several types of functions, including linear functions, quadratic functions, exponential functions, logarithmic functions, trigonometric functions, and many others. Each type of function has its own unique characteristics and properties.
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