Posted by **Charlotte** on Thursday, November 7, 2013 at 6:10pm.

1. The ordered pairs (1, 1), (2, 8), (3, 27), (4, 64), and (5,125) represent a function. What is a rule that represents this function?

Y = x

Y = 4x

Y = x^2

Y = x^3

I don't know how to solve this please help!

- Math help please -
**DrBob222**, Thursday, November 7, 2013 at 6:18pm
The easy way to do these is to look at it and try each of the answers.

For example, 2*1 is not 8 for a answer.

2*4 is 8 and that's ok but 3*4 is not 27.

For answer c, 2^2 = 4 and that's not ok.

Finally, 2*^3 = 8 which is ok. Next, 3^3 = 27 and that's ok. Next 4^3 = 64 and that's ok so I'd go with y = x^3. You can check out the last ordered pair to make sure 5^3 = 125.

- Math help please -
**Serena**, Thursday, November 7, 2013 at 6:20pm
Well for this problem what you would do is you would take each set of ordered pairs and substitute the x coordinate for x and the y coordinate for y.

If for all 5 ordered pairs a function works, then that is your answer.

For example take the first one.

With the set of coordinates (1,1)...

the first function would work because 1=1.

Lets try substituting another pair for the same function. (2,8)

8=2.

Since that is not true, you know that this function is not true for all the ordered pairs.

Try this method for the rest of the functions. I hope this helps!

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