SOLUTION: Determine whether or not the equation represents y as a function of x. Please show work. (x^3)y=-4

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Question 1014441: Determine whether or not the equation represents y as a function of x. Please show work.
(x^3)y=-4

Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
Determine whether or not the equation represents y as a function of x. Please show work.
(x^3)y=-4
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 = -4.

Yes, this relation determines y as a function of x: y = -.

This function is defined for all positive x: x > 0.

For each value of x, it determines one value of y (unique value of y.

For example, 

y(1)   = - = - = -4;

y(1/2) = - = - = -32;

y(2)   = - = - = -.


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