What are four integers between 0 and +10 that does not model a function?

Question

example of at least four ordered pairs that does not model a function. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and +5.

Answer 1

See this page ( http://www.algebra.com/algebra/homework/Functions/Functions.faq.question.393212.html ) for info on ordered pairs that do not model a function.

So ordered pairs are things like (1,2), (3,4), and so on.

Ordered pairs that model a function have to have the first coordinates (the 'x' in (x,y) ) all different.  The second coordinates (the 'y' in (x,y) ) can have values that are the same.

For this problem we want four ordered pairs, so let's try:

(0,-5), (1,-6), (2,-7), (3,-8)

Those four ordered pairs do model a function because the first coordinates (0,1,2,3) are all different.

We want four ordered pairs that do *not* model a function, so there has to be at least one match between the first coordinates.  We could do this:

(0,-5), (0,-6), (2,-7), (3,-8)

There are many possible solutions, but this one works because the first coordinates (0,0,2,3) have a repeat (two zeroes).