imansimmons5699 imansimmons5699
  • 26-02-2021
  • Mathematics
contestada

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

Respuesta :

reeserl reeserl
  • 27-02-2021

Answer:

[tex]f(x) = (2x)^{3}[/tex]

Step-by-step explanation:

[tex]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\\[/tex]

[tex]f(x) = (2x)^{3}[/tex]

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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