The set of ordered pairs represents a function. Write a rule that represents the function. (0,0 ), (1 ,4 ), (2 ,16 ), (3 ,36 ), (4 ,64 )

Question

Joslyn Santiago

Mathematics

11 February, 12:35

The set of ordered pairs represents a function. Write a rule that represents the function. (0,0 ), (1 ,4 ), (2 ,16 ), (3 ,36 ), (4 ,64 )

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Answers (1)

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Hannah Good · Answer 1

First, we have to notice that 0 = (2*0) ^2

and 4 = (2*1) ^2

and 16 = (2*3) ^2

and 64 = (2*4) ^2

The y value is always the square of twice the x value or,

y = (2x) ^2 or y = 4x^2