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# Quick Doubt Resolution with RD Sharma Class 12 Solutions Chapter 2 - Functions Exercise 2.2 - Free PDF Last updated date: 30th Nov 2023
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## Free PDF download of RD Sharma Class 12 Solutions Chapter 2 - Functions Exercise 2.2

Free PDF download of RD Sharma Class 12 Solutions Chapter 2 - Functions Exercise 2.2 solved by Expert Mathematics Teachers of Vedantu.com. All Chapter 2 - Functions Ex 2.2 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise and complete the syllabus to score more marks in the board and competitive exams. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams.

## Functions – Chapter 2, Mathematics (Class 12)

‘Functions’ is the 2nd Chapter of Mathematics in class 12. Students will learn about functions and can study the NCERT book to understand the concepts in a simple way. A function in simple words can be defined as a special relationship among the inputs (i.e. the domain) and their outputs (called the codomain) where each input has exactly one output and the output can be traced back to its input. An illustration of a simple function is f(x) = x2. In this function, the function f(x) takes the value of “x” and then squares it. For instance, if x = 2, then f (2) = 4.

In addition, functions can be defined in algebraic expressions as well. It can be defined as an equation for which any x that can be put into the equation will produce exactly one output (y) from the equation. It is represented as:  y = f (x)

Where x is an independent variable and y is a dependent variable i.e. it depends on the value of x.

Learn more about the concepts of Functions from the solution provided by the expert mentors of Vedantu. Download the solution PDF and complete your study material for learning this chapter. make yourself more competitive by understanding the approaches the mentors have cited to solve the respective problems of this exercise.

## FAQs on Quick Doubt Resolution with RD Sharma Class 12 Solutions Chapter 2 - Functions Exercise 2.2 - Free PDF

1. What's a function in a graph?

A function f (x) can be represented on a graph by knowing the values ofx. Functions can be represented by the equation, y = f (x), so if you start putting the values of x, you can get the value for y. Let us see an illustration

Suppose, y = x + 2

So,

If x = 0, y = 2

If x = -2, y = -2 + 2 =0

If x = -1, y = -1 + 2 = 1

If x = 1, y = 1 + 2 = 3

If x = 2, y = 2 + 2 = 4

Now with the help of these values of x and y, you can plot the graph for function x + 2.

2. What's a polynomial function?

A polynomial function is defined by y =a+ a1x + a2x2 + … + anxn, where n is a non-negative integer and a0, a1, a2… ∈ R. R is the set of real numbers. The highest power in the expression can be defined as the degree of the polynomial function. Polynomial functions are further classified based on their degrees:

• Constant Function: When the highest degree is zero.

• Linear Function: The polynomial function with degree one. The domain and the range are R i.e. the set of real numbers. Here, the graph is always a straight line.

• Quadratic Function: If the degree of the polynomial function is two, then it is a quadratic function. It is expressed as f(x) = ax2 + bx + c, where a ≠ 0 and a, b, c are constant & x is a variable. The domain and the range are R.

•  Cubic Function: A cubic polynomial function is a polynomial of degree three and can be denoted by f(x) = ax3 + bx2 + cx +d, where a ≠ 0 and a, b, c, and d are constant & x is a variable. The domain and the range are R.

3. Can I get NCERT solutions on Vedantu?

Yes, you can get the NCERT results on Vedantu of the chapter ‘functions’. This platform has study materials that are free and come in a PDF format as well. So anyone can download the PDF files and study for their examinations. It will be extremely helpful for students struggling with any numerical questions or if anyone has any doubts. The study materials are free of cost and the answers have explanations as well. This will help students clear their doubts and understand the concepts better.

4. Do I've to pay to access the study materials?

No, anyone can simply download the study materials, which are also free. This will make it easier for students to learn and comprehend the video lectures or classes they attended at school. Vedantu provides topic expertise that can aid students with their doubts as well as their conceptual understandings. This is completely free of cost. Anyone can visit the Vedantu website or download the Vedantu app and find the results they need. They can also interact with subject matter specialists.

5. Is this chapter helpful for IIT JEE?

Yes, students can study this chapter in medication for the IIT JEE and other state engineering entrance examinations. It'll be advantageous to them. If a student requires assistance in resolving their problems or finding solutions to NCERT exercises, they can use the Vedantu app or website. Students might seek the assistance of subject experts who can assist them in learning important topics. This is available for free through the Vedantu app or website.