SOLUTION: Determine whether the equation defines y as a function of x. x + y3 = 1

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Question 1174855: Determine whether the equation defines y as a function of x.
x + y3 = 1
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The definition of a function says that one input must give us at most one output.

so, you have to check if there is going to be one y+for one x
x+%2B+y%5E3+=+1
y%5E3+=+1-x
y=root%283%2C+1-x%29


The cube root function gives us one output per input.
As a consequence of the previous statement and using the definition of function we can say that from this equation we can write y as a function of x} .