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QUESTION

What is a value of ##x## that makes the relation ##{(2, 4), (3, 6), (8, x)}## a function?

##(8,16)## this is a function. If you consider the first value in each ordered pair to be the independent variable then they plot (map) to only one dependent variable ( 1 to 1 mapping).

Look for a relationship within the pairs.

Notice ##(2,4) -> (2,[2xx2]color(white)(.))## ##(3,6)-> (3,[2xx3]color(white)(.))##

##=> (8,x)->(8,[2xx8]color(white)(.)) = (8,16)## '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ You would have the same result if you considered the first 2 points as defining a straight line graph and used that to determine the third ordered pair.

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