is it possible to roll a six sided number cube to generate a set of ten ordered pairs and have it graph a function?

  maybe

Step-by-step explanation:

It depends on your strategy for determining ordered pairs.

A straightforward interpretation of the problem would say 1 roll gives an x-value, and the next roll gives the corresponding y-value. If that is the strategy, in 10 rolls, there will be repeats of the x-value. So, the pairs cannot represent a function.

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If you adopt a different strategy, such as using the rolled number as the tens digit of the x-value, and sequentially assigning the numbers 0 to 9 to the units digit of the x-value, then all of the x-values will be different. Regardless of how you arrive at the y-values, the result will always be a function when graphed.

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Basically, any strategy that makes it likely that the x-values will be different makes it likely that the relation will be a function. Otherwise, it is unlikely (or impossible) that the relation will be a function.

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step-by-step explanation:

sine

step-by-step explanation: