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Relations and Functions Class 11 Notes Maths Chapter 2

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FAQs on Relations and Functions Class 11 Notes Maths Chapter 2

1. What is the difference between a relation and a function?
Ans. A relation is a set of ordered pairs, while a function is a special type of relation where each element in the domain is associated with exactly one element in the range. In other words, every input (domain) value in a function corresponds to a unique output (range) value.
2. 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 a vertical line intersects the graph of the relation at more than one point, then it is not a function. However, if no vertical line intersects the graph at more than one point, then the relation is a function.
3. Can a function have more than one output for a single input?
Ans. No, a function cannot have more than one output for a single input. In a function, each input value must be associated with only one output value. If an input value is associated with multiple output values, then it violates the definition of a function.
4. What is the domain and range of a function?
Ans. The domain of a function is the set of all possible input values for the function. It represents the values for which the function is defined. The range of a function is the set of all possible output values that the function can produce. It represents the values that the function can take on.
5. How can you represent a function algebraically?
Ans. A function can be represented algebraically using an equation or a formula. For example, if we have a function f(x), we can represent it as f(x) = 2x + 3, where 2x + 3 is the formula that relates the input values (x) to the output values (f(x)). This algebraic representation allows us to calculate the value of the function for different input values.
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