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The set of ordered pairs represents a function. Write a rule that represents the function. (1,8),(2,64),(3,216),(4,512)

1 Answer

8 votes

Answer:


f(x) = (2x)^(3)

Explanation:


8 = 2^(3) \\ and \\ 2 = 2(1 ) = 2x\\64 = 4^(3)\\ and \\ 4 = 2(2) = 2x\\ \\216 = 6^(3) \\ and \\ 6 = 2(3) = 2x\\512 = 8^(3) \\ and \\ 8 = 2(4) = 2x\\


f(x) = (2x)^(3)

I hope you can follow what I have shown. What is happening is the the y value in each ordered pair is the cube of 2 times the x value

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