Unit-I: Sets and Functions
Unit-II: Algebra
Unit-III: Coordinate Geometry
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability

Domain and Range

Let  f \subset A \times B , i.e, let  f be a relation from  A to  B . Then domain of  f or  \text {domf} or  D_f is defined by

D_f (\text {dom f})= \{ x \in A : (x,y) \in f \text { for some } y \in B \}

 \rightarrow The set  B is called the codomain of  f .

Range:

The range of  f or  \text {rng f} (or  R_f) is defined by

 R_f( \text {rng f})= \left{ Y \in B : (x,y)\in f \text { for some } x \in A \right }

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