GMAT Exam > GMAT Videos > Quantitative for GMAT > Problem Set: Functions
Problem Set: Functions Video Lecture | Quantitative for GMAT
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FAQs on Problem Set: Functions Video Lecture - Quantitative for GMAT
| 1. What is a function in mathematics? |  |
Ans.A function in mathematics is a relation that assigns each input exactly one output. It can be represented in various forms, such as equations, graphs, or tables, and is often denoted as f(x), where f is the function name and x is the input variable.
| 2. How do 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 the relation is not a function. Additionally, each input value should correspond to only one output value.
| 3. What are the different types of functions? | |
Ans.There are several types of functions, including linear functions, quadratic functions, polynomial functions, rational functions, exponential functions, and logarithmic functions. Each type has its own unique characteristics and equations that define its behavior.
| 4. How do you find the domain and range of a function? | |
Ans.The domain of a function is the set of all possible input values (x-values) that will produce a valid output, while the range is the set of all possible output values (y-values). To find the domain, look for restrictions on x (like division by zero or square roots of negative numbers), and for the range, evaluate the output values based on the function's formula or graph.
| 5. What is the difference between a one-to-one function and an onto function? | |
Ans.A one-to-one function (injective function) is one where each output is mapped from a unique input, meaning no two different inputs produce the same output. An onto function (surjective function) is one where every possible output in the codomain has at least one corresponding input in the domain. A function can be both one-to-one and onto, making it a bijective function.
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Dec 22, 2024 Last updated |
Video Description: Problem Set: Functions for GMAT 2024 is part of Quantitative for GMAT preparation.
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