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user100 [1]
3 years ago
6

Write the equation for the following relation. Include all of your work in your final answer. Submit your solution.

Mathematics
1 answer:
ella [17]3 years ago
5 0

Answer:

y=x^3

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.

8=2^3

27=3^3

64=4^3

125=5^3

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

y=x^3

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