RD Sharma Class 11 Chapter 3 Solutions (Functions)
RD Sharma Solutions for Class 11 Maths Chapter 3 ‘Functions’ are designed for students who will appear in the CBSE and many other competitive exams. These solutions help you to obtain concepts and apply them to solve problems of different difficulty levels.
There are 6 exercises in the chapter with a total of 118 questions. Understanding the concepts of functions is very important as there are at least one or two questions from the RD Sharma Class 11 Maths Solutions chapter in the exams. The total marks weightage from the chapter in CBSE exams is about 8 to 12 marks. This chapter sets up the foundation for differential and integral calculus. In this chapter, the students will be able to comprehend the description of the function, domain, co-domain, range, equal and real functions, etc.
InstaSolv has identified the most frequently occurring doubts and problems of students in a systematic way, so you will find these RD Sharma Chapter 3 solutions in resonance with your ability. They will also help you practice time management in the stressful exam environment, and therefore, will help you with entrance exams like JEE Main, JEE Advanced and NEET. Along with the other tasks in your curriculum, these practice questions from RD Sharma book are highly recommended before your school exam.
Topics Covered and Important Points of RD Sharma Solutions for Class 11 Chapter 3 – Functions
- Function as a special kind of relationship: A function is a correspondence between two sets (called domains and ranges), such that for each element of the domain, an element of the range is determined.
Work as correspondence:
- Description of a function: A technical definition of a function is: relation to a set of inputs is from a set of possible outputs where each input belongs to exactly one output. We can write the statement that the f function is a function from X to Y using the notation f: X → Y.
- Domain, co-domain and scope of function: Both the co-domain and the range are on the output side but are subtly different. Co-domains are a set of values that could possibly be encountered and the range is the set of values that actually come up. Example: We can define a function f (x) = 2x with a domain and codomain of integers.
- Evaluating Functions At Specific Values:
Suppose a function like above is given and we need to calculate the value of the function at the different intervals of x. This is one of the easiest questions in the RD Sharma Solutions for Class 11 Maths Chapter 3 that can help you secure marks without many calculations.
- The domain of real functions:
The domain of a function is the set of all possible inputs to the function. For example, the domain of f (x) = x all are all real numbers, and the domain of g (x) = 1 / x is all real numbers except x = 0.
- Domain and range of rational functions:
The domain of a function f (x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. A rational function is a function of the form f (x) = p (x) q (x), where p (x) and q (x) are polynomials and q(x) is a0.
- Some common functions:
Here are some of the most commonly used functions. It is highly recommended for a student to see their graphs for better understanding.
- Linear Function: f(x) = mx + b.
- Square Function: f(x) = x^2.
- Cube Function: f(x) = x^3.
- Square Root Function: f(x) = √x
- Absolute Value Function: f(x) = |x|.
- Reciprocal Function. f(x) = 1/x.
Discussion of Exercises of RD Sharma Solutions for Class 11 Chapter 3 – Functions
Solutions given in RD Sharma Class 11 Maths Chapter 3 ‘Functions’ give you the easiest approach to tackle the questions from the exam point of view. The RD Sharma Solutions for Class 11 Maths Chapter 3 presented on this page provide answers to all the 118 questions present in the 6 exercises.
The questions are based on various topics mentioned in the chapter. Broadly speaking, the RD Sharma exercises for this chapter consists of 8 types of questions. The chapter starts with the basic knowledge of function like function as a special kind of relation, and continues with problems on range and domain of a function and finally comes to end with questions on the operation of real numbers and their graphs.
- The first exercise has 18 questions. These questions are about finding the range, domain, values of functions at different intervals, etc.
- In the second exercise, there are 11 questions. These are advanced questions as compared to the questions of the previous exercise.
- The third exercise has 15 questions. These are related to finding the range and domain of the real-valued functions.
- The fourth exercise is dedicated to finding the values of the functions with graphical and other methods. This exercise contains 11 questions.
- The fifth exercise is aimed at short types of questions. There are 18 questions which can prove lethal while preparing for two marks questions just before the exams.
- The last phase of the chapter is backed up by an exercise which is dedicated to MCQ. There are 45 MCQs in this exercise.
If you want to increase your knowledge and take a strong stand on the subject, they can follow RD Sharma Class 11 Solutions for Chapter 3. The solutions are designed in a simple language by our experts to meet all your learning needs.
Benefits of RD Sharma Solutions for Class 11 Chapter 3 Functions by InstaSolv
- InstaSolv has designed the RD Sharma Solutions for Class 11 Chapter 3 in detailed and appropriate steps to help you clarify your understanding of function operations.
- If you are able to grasp a good hold in the chapter of functions, then going forward, the mathematical operations will become easy for you due to the wide application of the concepts that are involved.
- InstaSolv’s solutions are free and will help you use your time effectively.