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Domain and Range Video Lecture | Sets and Functions - JEE
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FAQs on Domain and Range Video Lecture - Sets and Functions - JEE
| 1. What is the concept of domain and range in mathematics? |  |
| 2. How can the domain of a function be determined? | |
Ans. To determine the domain of a function, you need to identify any restrictions or limitations on the input values. These restrictions can be in the form of excluded values, such as division by zero, square roots of negative numbers, or logarithms of non-positive numbers. By considering these limitations, you can determine the valid set of input values for the function.
| 3. Can the domain and range of a function be the same? | |
Ans. Yes, it is possible for the domain and range of a function to be the same. This occurs when every input value has a corresponding output value, and there are no restrictions or limitations on the function's behavior. In such cases, the domain and range will be equal sets.
| 4. How can the range of a function be determined? | |
Ans. To determine the range of a function, you need to analyze the output values that the function can produce. It involves examining the behavior of the function and identifying the set of all possible output values. This can be done by analyzing the graph of the function or by considering the function's algebraic expression.
| 5. What is the significance of domain and range in real-life applications? | |
Ans. The domain and range are crucial in real-life applications of mathematics. For example, in a business scenario, the domain may represent the set of possible input values such as time, quantity, or price, while the range may represent the corresponding output values such as revenue or profit. Understanding the domain and range allows us to make meaningful interpretations and predictions based on mathematical models.
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