### Mathematics Class XI

Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
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

# Diagrammatic representation of function

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If can be written as

where is called variable.

Example:

Let

Consider

Hence

Codomain of

Moreover every element of has a unique image in . Hence is a function from to .

Now for the above sets and , consider:

and

Hence is not a function from to since has no image in .

Also is not a function from to since the element has two different images i.e., and , i.e.,two different ordered pairs and in the have the same first component.

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