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Functions Video Lecture | Crash Course for CAT
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FAQs on Functions Video Lecture - Crash Course for CAT
| 1. What are the basic types of functions in mathematics? |  |
Ans. The basic types of functions in mathematics include linear functions, quadratic functions, polynomial functions, exponential functions, and logarithmic functions. Each type has distinct characteristics and graphs that represent their relationships.
| 2. How do you determine if a relation is a function? | |
Ans. A relation is a function if every input (or x-value) has exactly one output (or y-value). This can be tested using the vertical line test on the graph: if any vertical line intersects the graph more than once, then the relation is not a function.
| 3. What is the difference between one-to-one and onto functions? | |
Ans. A one-to-one function is a function where each output is mapped to by exactly one input, meaning no two different inputs produce the same output. An onto function, also known as a surjective function, is one where every possible output is covered by at least one input. A function can be both one-to-one and onto, which is referred to as a bijective function.
| 4. How do you find the inverse of a function? | |
Ans. To find the inverse of a function, first replace the function notation (f(x)) with y. Then, swap the x and y variables and solve for y. Finally, replace y with f⁻¹(x) to denote the inverse function. It is important to ensure that the original function is one-to-one for the inverse to be valid.
| 5. What is the significance of the domain and range of a function? | |
Ans. The domain of a function is the set of all possible input values (x-values) that the function can accept, while the range is the set of all possible output values (y-values) that the function can produce. Understanding the domain and range is crucial for determining the behavior of the function and its applicability to real-world problems.
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About this Video
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Dec 25, 2024 Last updated |
Video Description: Functions for CAT 2024 is part of Crash Course for CAT preparation.
The notes and questions for Functions have been prepared according to the CAT exam syllabus.
Information about Functions covers all important topics for CAT 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Functions.
Introduction of Functions in English is available as part of our Crash Course for CAT for CAT & Functions in
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Video Lecture & Questions for Functions Video Lecture | Crash Course for CAT - CAT full syllabus preparation | Free video for CAT exam to prepare for Crash Course for CAT.
Information about Functions
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