Class 12 Exam > Class 12 Videos > Additional Study Material for Class 12 > An Introduction to Functions
An Introduction to Functions Video Lecture | Additional Study Material for Class 12
|
12 videos|63 docs
|
FAQs on An Introduction to Functions Video Lecture - Additional Study Material for Class 12
| 1. What is a function in mathematics? |  |
A function in mathematics is a relation between a set of inputs (called the domain) and a set of outputs (called the co-domain). It assigns each input a unique output, meaning that for every input there is exactly one output. In other words, a function takes an input value and produces a corresponding output value based on a specific rule or equation.
| 2. How do you represent a function? | |
A function can be represented in various ways. One common way is using a function notation, where the function is denoted by a letter followed by parentheses. For example, f(x) represents a function called "f" with input "x". The function notation allows us to easily distinguish between the function and its variable.
| 3. What is the difference between the domain and co-domain of a function? | |
The domain of a function is the set of all possible input values for the function. It defines the values for which the function is defined and meaningful. On the other hand, the co-domain of a function is the set of all possible output values. It represents the range of values that the function can produce as outputs. It is important to note that not all values in the co-domain may be reached by the function.
| 4. How can you determine if a function is one-to-one? | |
A function is considered one-to-one (or injective) if each input value corresponds to a unique output value. In other words, no two different inputs produce the same output. To determine if a function is one-to-one, we can use the horizontal line test. If any horizontal line intersects the graph of the function at more than one point, then the function is not one-to-one. Additionally, we can analyze the algebraic representation of the function to check for uniqueness in the outputs.
| 5. What is the range of a function? | |
The range of a function represents the set of all possible output values that the function can produce. It is the collection of all the actual output values obtained by evaluating the function for all possible input values in the domain. The range can be determined by analyzing the graph of the function or by examining the outputs of the function for different input values.
Related Exams
About this Video
|
Nov 05, 2024 Last updated |
Video Description: An Introduction to Functions for Class 12 2024 is part of Additional Study Material for Class 12 preparation.
The notes and questions for An Introduction to Functions have been prepared according to the Class 12 exam syllabus.
Information about An Introduction to Functions covers all important topics for Class 12 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for An Introduction to Functions.
Introduction of An Introduction to Functions in English is available as part of our Additional Study Material for Class 12 for Class 12 & An Introduction to Functions in
Hindi for Additional Study Material for Class 12 course. Download more important topics related with notes, lectures and mock test series for
Class 12 Exam by signing up for free.
Description
Video Lecture & Questions for An Introduction to Functions Video Lecture | Additional Study Material for Class 12 - Class 12 full syllabus preparation | Free video for Class 12 exam to prepare for Additional Study Material for Class 12.
Information about An Introduction to Functions
Here you can find the meaning of An Introduction to Functions defined & explained in the simplest way possible.
Besides explaining types of An Introduction to Functions theory, EduRev gives you an ample number of questions to practice An Introduction to Functions tests,
examples and also practice Class 12 tests.
|
12 videos|63 docs
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
video lectures
,Extra Questions
,Semester Notes
,past year papers
,An Introduction to Functions Video Lecture | Additional Study Material for Class 12
,mock tests for examination
,Previous Year Questions with Solutions
,An Introduction to Functions Video Lecture | Additional Study Material for Class 12
,MCQs
,An Introduction to Functions Video Lecture | Additional Study Material for Class 12
,Objective type Questions
,Important questions
,practice quizzes
,Exam
,ppt
,Sample Paper
,study material
,Summary
,Viva Questions
,shortcuts and tricks
,Free
;
Study An Introduction to Functions on the App
Students of Class 12 can study An Introduction to Functions alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the An Introduction to Functions,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of An Introduction to Functions is prepared as per the latest Class 12 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup