Functions

This is an expansive chapter with six sections which aids the learning of Calculus. The first section is about the introduction to functions and deals with important concepts of the domain and range of a function.The second section deals with Standard functions such as constant functions, linear functions, step function,trigonometric functions etc.The third section focuses on exponential and logarithmic functions.We will learn to visualize functions as mappings in section four.Properties of functions are dealt in the fifth section where even/odd , increasing/ decreasing and functions are discussed. Section six deals with inverse of a function and the last section has graphs and graph-plotting in detail. At the end of this section, we have a series of exercises to test your understanding of this chapter,solved examples, previous years’ IIT JEE questions pertaining to this chapter.

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.

Introduction To Functions

• Introduction To Functions
• Basic Examples on Functions
• Graphs of Functions and The Vertical Line Test

Standard Functions and Their Domains and Ranges

• Domains and Ranges of Standard Functions Set 1
• Domains and Ranges of Standard Functions Set 2
• Domains and Ranges of Standard Functions Set 3
• Examples on Domains and Ranges of Functions Set 1
• Examples on Domains and Ranges of Functions Set 2
• Examples on Domains and Ranges of Functions Set 3
• Examples on Domains and Ranges of Functions Set 4
• Examples on Domains and Ranges of Functions Set 5
• Examples on Domains and Ranges of Functions Set 6
• Examples on Domains and Ranges of Functions Set 7

Exponential and Logarithmic Functions

• Introduction To Exponential and Logarithmic Functions
• Examples on Exponential and Logarithmic Functions Set 1
• Examples on Exponential and Logarithmic Functions Set 2

Functions As Maps

• Functions As Maps
• Examples on Functions As Maps

Properties of Functions

• Even and odd Nature of Functions
• Monotonicity and Periodicity of Functions

Inverses of Functions

• Inverse of a Function
• Inverses of Some Standard Functions
• Examples on Inverses of Functions

Graphing Modified Functions

• Flipping and Reflecting In Graphing Modified Functions
• Translating and Scaling In Graphing Modified Functions
• Examples on Graphing Modified Functions

Functions

• Solved Examples