### 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

# Some different types of functions

(i) One-One (Injective):

If is said to be one-one i.e., &

(ii) Onto (Surjective):

If is said to be onto i.e., .

(iii) One-one & Onto (Bijective):

If is said to be bijective i.e., is both injective & surjective i.e., one-one correspondence

(iv) Many-one:

A function is said to be a many-one function, if two or more elements of have the same image in .

Thus is many one if for , but .

(v) Into:

If is into such that at least one element in codomain which is not the image of any element is domain.

Hence have no pre-image in .

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