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Give an example of a set of five ordered pairs that is a function. Given another example of a set of five ordered pairs that is NOT a function. Explain why the first set is a function and why the second set is not a function.

Answer :

give answer here:

These are Function (7,2), (1,1), (8,1), (4,2), (3,11) These are not Functions (7,2), (1,1), (8,1), (4,2), (1,11)

step-by-step explanation:

The first set is a function i know this because for example the inputs which are 7,1,8,4,3 are buyers for a car and the output is 2,1,1,2,1 1 and those are the cars but the input is different buyers, The 2nd one has two of the same inputs which means the same buyer is buying two cars which is not fair so it makes it a non function.

DeanR

A function y=f(x) has the property that for any x in the domain there is exactly one value for y=f(x).  

We can represent a function as a set of ordered pairs  { (x₁,y₁), (x₂,y₂), ... }.  Any set of ordered pairs where no value appears twice as the first element is a function.  If the same x appears twice (with necessarily different ys because it's a set) that's not a function.

Function example:  { (0,1), (1,3), (2,5), (3,7), (4,-13) }

Non-function example:  { (0,1), (1,3), (2,5), (3,7), (3,-13) }

In the first set no x is duplicated so it represents a function; in the second 3 is the x in two of the pairs; not a function.

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