Functions

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welcome to the chapter on Functions

Brief Introduction about the Chapter

Functions is the starting point of the study of Calculus, and also one of its most important aspects.

Topics covered

Section - 1: Introduction to functions
This section has an introduction to functions along with the concepts of Domain and Range.
Section - 2: Commonly encountered functions
Here, we'll discuss functions that are commonly used throughout mathematics, and their properties. We also discuss graphs of these functions.

Exercise - 1

Questions for practice (Answers are provided)
Section - 3: Mappings - Functions as maps
A discussion on what mappings mean, and how functions can be viewed as maps.

Exercise - 2

Questions for practice
Section - 4: Properties of functions
A discussion on
Even/Odd functions
Increasing/Decreasing functions
Periodic functions
Section - 5: Inverse functions
This discussion is very important. It deals with inverses, how they are calculated/graphed, and their properties.

Exercise - 3

Questions for practice
Section - 6: Graphs
Very important. Discusses basic graph plotting in detail. Also discusses manipulations on graphs. You must understand this section carefully if you want to be proficient in functions.

Exercise - 4

Questions for practice
Section - 7: Miscellaneous examples
This section contains miscellaneous solved examples on Functions.
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