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**What is function ?**

**Examples :- If `x,y in {1;2;3;4}` ;then which of the following are function in the given set ? `(a) f_1={(x;y):y=(x+1)} (b) f_2={(x;y):x+y>4} (c) f_3={(x,y):y`
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**Definition and arrow diagram**

**Description of function**

**Domain codomain and range of function**

**Find domain and range of function Let `A={-2,-1,0,1,2} and f:A->Z` be given by `f(x)=x^2-2x-3)` (a)find the range of f (b) find preimages of 6;-3 and 5**

**Explain Equal function with some example .**

**Explain Real valued function with some examples.**

**Find Domain and Range of real functions (1) `f(x)=(x-2)/(3-x)` (2)`f(x)=1/sqrt(x-5)` (3) `f(x)=x/(1+x^2)`**

**Explain Constant function with graph**