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RD Sharma Class 11 Maths Solutions Chapter 3 - Functions

RD Sharma Solutions

RD Sharma Class 11 Maths Solutions Chapter 3 - Functions

RD Sharma Solutions for Class 11 Maths Chapter 3 - Free PDF Download

In this chapter, one of the most important concepts in Mathematics known as Functions is covered. We have introduced the concept of a function as a correspondence between two sets, and function also has a relation from one set to the other set. Solutions which is prepared by an expert teacher at Vedantu helps students to get good marks in Maths. From the exam point of view, the solutions are solved in a simple and structured manner where students can secure an excellent Students can download and refer to the RD Sharma Class 11 Functions Solutions for free from Vedantu.

Class 11 RD Sharma Textbook Solutions Chapter 3 - Functions

We have provided step-by-step solutions for all exercise questions given in the pdf of Class 11 RD Sharma Chapter 3 - Functions. All the Exercise questions with solutions in Chapter 3 - Functions are given below:

Functions chapter is important for the exam point of view as well as various competitive exams like JEE. The problems given in the attached pdf are frequently asked in the previous board examinations. Practice these problems well and solve the practise problems provided in the pdf.

Chapter 3 - Functions contains four exercises. Class 11 Maths RD Sharma Chapter 3 Solutions present in this pdf provide solutions to the questions present in the exercise. Following are the concepts discussed in this chapter.

Function as a special kind of relation.
Function as a correspondence.

Description of a function.
Domain, co-domain, and range of a function.

Equal functions.
Real functions.
The domain of real functions.
Range of real functions.
Some standard real functions and their graphs.
Operations on real functions.

Key Concepts

A relation between two points is a set of ordered pairs. A function is a specific type of relationship in which each domain value, or input value, leads to exactly only one range value, or output value.
Function notation is a short method for relating the input to the output in the form y=f(x)
A function can be represented by rows or columns in a tabular form that relates to input and output values.
To evaluate a function we have to determine an output value for a corresponding input value. Algebraic forms of a function can be evaluated by replacing the input variable with a given value.
To solve for a specific function value, first determine the input values that yield the specific output value.
An algebraic form of a function can be written from a given equation.
We can identify the input and output values of a function from the table.
Input values related to output values on a graph are another way to evaluate a function.
A function is said to be one-to-one if each output value corresponds to only one input value.
A graph represents a function if any vertical line drawn on the graph intersects the graph at no more than one point.
A one-to-one function represented by a graph only if any horizontal line drawn on the graph intersects the graph at no more than one point.

Key Features of RD Sharma Class 11 Chapter 3 Solutions

Detailed illustrations of all the questions which contain more than solutions.
Brief summary consisting of formulae and concepts.
An algorithmic approach to solve each problem.
Complete answers are provided to all the questions in RD Sharma class 11 maths textbook.

Conclusion:

The concept of functions as a relation between two sets, is discussed in brief in this chapter. Vedantu master teachers prepared the Class 11 Maths RD Sharma Chapter 3 Solutions to help students prepare this chapter. The sums are solved in a simple and well-structured manner based on the latest CBSE guidelines. The solutions help students to identify and rectify their mistakes easily. These solutions on Vedantu will help students to develop their problem-solving skills.

FAQs on RD Sharma Class 11 Maths Solutions Chapter 3 - Functions

1. What is the Difference Between the Range and Co-Domain of a Function mentioned in the Class 11 Maths Chapter-3 Functions?

This is an interesting concept which should be understood by all the students of Class 11 as it has high chances of appearing in your examinations. For solving this, let f be a function from set A to set B, then all the elements of set B are called the codomain of this function f. The range consists of the elements of set B which have a preimage in set A. So we can say that range is the subset of codomain.

2. What is a Rational Function?

Let f(x) and g(x) be two polynomial functions of x, defined in some domain and g(x) ≠ 0, then the function of the type f(x)/g(x) is a rational function.

3. What is an Onto Function?

Let f be a function defined from set A to set B. Here set A is the domain and set B is the codomain of this function f. This function is called an onto function if for every element in set B there exists a preimage in set A. In simpler terms, we can say that for an onto function range is equal to the codomain.

4. What are the concepts used in RD Sharma Class 11 Maths Solutions Chapter 3 - Functions?

The students can see that Chapter-2 relations and Chapter-3 Functions of RD Sharma are interlinked with each- other from Class 11 Maths. All of the concepts discussed in the chapter-3 Functions are given below:

Function as a special kind of relation.
Function as a correspondence.

Description of a function.
Domain, co-domain, and range of a function.

Equal functions.
Real functions.
The domain of real functions.
Range of real functions.
Some standard real functions and their graphs.
Operations on real functions.

5. What are the different Functions discussed in Functions Chapter-3 Class 11 Maths?

There are various types of functions mentioned in RD Sharma Solutions for Class 11 Chapter-3 Maths. They are one – one function (Injective function), Many – one function, Onto – function (SubjectiveFunction), Into – function, Polynomial function, Linear Function, Identical Function, Quadratic Function, Rational Function, Algebraic Functions, Cubic Function, Modulus Function, Signum Function, Greatest Integer Function, Fractional Part Function, Even an Odd Function, Periodic Function, Composite Function, Constant Function, Identity Function. All these concepts are important but it is more crucial for the student to study the textbook-based function first and then move on to the reference books ones.

6. What are the Key Features of RD Sharma Class 11 Chapter 3 Solutions?

A student of Class 11 must have doubts regarding why they should choose RD Sharma and the reason is due to its high reliability and comprehensible answers. Apart from that, some of the keys features given below such as:

Detailed illustrations of all the questions which contain more than solutions.
Brief summary consisting of formulae and concepts.
An algorithmic approach to solve each problem.
Complete answers are provided to all the questions in the RD Sharma class 11 maths textbook.

7. What is the Conclusion of Chapter-3 Functions Class 11 Maths?

The concept of functions as a relation between two sets is discussed briefly in this chapter. Vedantu master teachers prepared the Class 11 Maths RD Sharma Chapter 3 Solutions to help students prepare for this chapter and get better scores. The sums are solved in a simple and well-structured manner based on the latest CBSE guidelines. The solutions help students to identify and rectify their mistakes easily. These solutions on Vedantu will help students to develop their problem-solving skills. All the solutions are available on Vedantu’s official website and mobile app for free.