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Write the equation for the following relation. Include all of your work in your final answer. Submit your solution.
Q = {(x, y): (2, 8), (3, 27), (4, 64), (5, 125), . . .}

Respuesta :

kudzordzifrancis

Answer:

[tex]y=x^3[/tex]

Step-by-step explanation:

The given relation is Q = {(x, y): (2, 8), (3, 27), (4, 64), (5, 125), . . .}

We can quickly recognize a pattern to write the equation of the given relation.

We can observe the following pattern among the x and y coordintaes.

[tex]8=2^3[/tex]

[tex]27=3^3[/tex]

[tex]64=4^3[/tex]

[tex]125=5^3[/tex]

We can see that the base of the powers on the right are the x-values of the relation and the values on the left are the y-values.

Hence, for any ordered pair (x,y), the equation is

[tex]y=x^3[/tex]

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