SOLUTION: For each relation determine if y is a function of x. (y-2)^3+3=x

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Question 1097001: For each relation determine if y is a function of x.
(y-2)^3+3=x
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for y and see if there are more than one value for any x.

%28y-2%29%5E3%2B3%22%22=%22%22x

%28y-2%29%5E3%22%22=%22%22x-3

root%283%2C%28y-2%29%5E3%29%22%22=%22%22root%283%2Cx-3%29

y-2%22%22=%22%22root%283%2Cx-3%29

y%22%22=%22%22root%283%2Cx-3%29+%2B+2

There is only one real cube root on any number, so 
yes, this is a function.

Here is the graph:



The graph of a function is one that never passes under 
or over any part of itself.  This one doesn't.

Edwin