SOLUTION: Decide whether or not the equation defines y as a function of x.
{{{x-y^2=-2}}}
What I got:
{{{x-y^2=-2}}}
{{{x=-2+y^2}}}
{{{sqrt(x+2)=y}}}
Is it a function?
Algebra.Com
Question 755537: Decide whether or not the equation defines y as a function of x.
What I got:
Is it a function?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
No it does not express y as a function of x. You did actually find part of the equation in the form of y as a function of x. The original equation ALSO has a lower branch which is also a function of x.
Taking square root of , you have BOTH of these:
AND
Consistant with that, IS NOT A FUNCTION.
A reason it is not a function is because for all but one value of x, each value of x gives more than one value of y.
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