Preparation with RD Sharma Class 11 Solutions
Free PDF download of RD Sharma Class 11 Solutions Chapter 3 - Functions Exercise 3.1 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 3 - Functions Ex 3.1 Questions with Solutions for RD Sharma Class 11 Maths to help you to revise complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams.
FAQs on RD Sharma Class 11 Solutions Chapter 3 - Functions (Ex 3.1) Exercise 3.1 - Free PDF
1. What are the types of functions in RD Sharma Class 11 Chapter 2?
There are 4 types of functions in RD Sharma Class 11 Chapter 2 namely,
One to one function or Injective function
Many to one function
Onto Function or Surjective function
One-one correspondence or Bijective function
RD Sharma Class 11 provides detailed information regarding this chapter along with the solved questions and several other examples. Identify the input and output values, If each input value leads to one and only one output value, then the relationship is classified as a function but if any input value leads to two or more outputs, then do not classify the relationship as a function.
2. Explain with example domain, codomain and range in a function?
Let us consider a function, f(x) = 5x
Now we will consider different values for a, for which we will get different output for function f(a),
If x = 1, then f(1) = 5(1) = 5
If x = 2, then f(2) = 5(2) = 10
If x = 3, then f(3) = 5(3) = 15
Here we can see that if the input is given as 1 then the output will be 5, so 1 is the domain and 5 is the range for that domain.
Codomain is referred to as the range of function along with a few additional values whereas range is the subset of the codomain. It is quite hard to differentiate but range is the actual output whereas range has possible sets of output. Domain and range are nothing but input and output respectively. But the collection of possible outputs i.e. (5,10,15) are the codomains of the function.