### Mathematics Class XI

Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Chapter 6: Sequence and Series
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter 1: Statistics
Chapter 2: Probability

# Function

A relation from to is called ‘function’ if it satisfies the following conditions.

(i)

(ii) and

If is a function, then or i.e., is a function from to or on to or maps into .

If , then , where is the value of or the image of under .

If , then , where every , a unique element . The set is called co-domain of .

For any subset of , the image of under is the set

and for any ,the pre-image of is the set

The range of is defined by the set of all images of elements of under .

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