Functions

This chapter begins with an introduction of how sets are represented on number lines, and this is supplemented with different examples. Concepts like range, domain, and restrictions on domain are explained. Different types of functions like piecewise, constant, linear, quadratic, polynomial, exponential, modulus and reciprocal are explained graphically and theoretically with examples.  The next section focuses on the greatest integer and fractional part functions. Next, we see how translation and scaling can be done both horizontally and vertically. The last section is about applying modulus and graphing of quadratic equations.

In addition to preparing for the JEE mains and advanced exams, Cuemath Founder Manan Khurma's study material is helpful for students who are appearing for CBSE, ICSE and other State board exams.

Basic Ideas

• Introduction to the Concept of Functions
• Visualizing Functions through Graphs
• Domain and Range of a Function
• Restrictions on Domain
• Piecewise-Defined Functions

Some Simple Types of Functions

• Constant Functions
• Linear Functions
• Quadratic Functions
• Polynomial Functions
• Exponential Functions
• The Modulus Function
• Reciprocal Function
• Greatest Integer and Fractional Part Functions

More on Graphing

• Vertical Translation
• Horizontal Translations
• Vertical Scaling
• Horizontal scaling
• Applying modulus
• Graphing a Quadratic Function