Relation and functions

Relation is a mapping or pairing of input values with output values

Function has exactly one input with one output





In this chapter, domain means x, range means y. in here, relation can have over than two range for one doamin.

But function can have only one range for one domain.

In case of function, you can represent function by an equation.



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GOAL


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Representing relations and functions


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Graphing and evaluating function


Practice problem1.find out whether relation is function


(1,3),(3,7)(2,3)(5,2)(12,14)(12,5)


Solution No,because one domain has two range in this problem.


Practice problem2. Evaluate the function when x=3

1) f(x)=x 2) 2) f(x)=3x-3 3) f(x)=2 x2 4) f(x)=1/2x

Solution 1) 3 2) 6 3) 18 4) 1 1/2

Practice problem 3. Write an equation of the line.