SSC MTS / SSC GD Exam > SSC MTS / SSC GD Videos > Quantitative Aptitude for Competitive Exams > Functions - Algebra, Quantitative Reasoning
Functions - Algebra, Quantitative Reasoning Video Lecture | Quantitative Aptitude for Competitive Exams - SSC MTS / SSC GD
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FAQs on Functions - Algebra, Quantitative Reasoning Video Lecture - Quantitative Aptitude for Competitive Exams - SSC MTS / SSC GD
| 1. What is a function in algebra? |  |
Ans. In algebra, a function is a mathematical relationship between two sets of numbers, where each input (or independent variable) has a unique output (or dependent variable). It can be represented as a rule or equation that maps each input to exactly one output.
| 2. How do you determine if a relationship is a function? | |
Ans. To determine if a relationship is a function, you can use the vertical line test. Draw a vertical line anywhere on the graph of the relationship. If the vertical line intersects the graph at more than one point, then it is not a function. If the vertical line intersects the graph at only one point, then it is 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 (x-values) for which the function is defined. The range of a function is the set of all possible output values (y-values) that the function can produce. In other words, the domain represents the valid inputs, and the range represents the corresponding outputs.
| 4. How do you find the domain and range of a function? | |
Ans. To find the domain of a function, you need to identify any restrictions on the input values. Look for values that may lead to division by zero, negative square roots, or other undefined operations. The range can be determined by analyzing the behavior of the function's graph or by solving for the possible output values.
| 5. Can a function have the same output for different inputs? | |
Ans. No, by definition, a function cannot have the same output for different inputs. Each input value must correspond to a unique output value. However, multiple input values can have the same output value. In other words, a function can have different inputs mapping to the same output, but it cannot have the same output mapping to different inputs.
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