SOLUTION: IS the relation defined by y^2+2x=5 a function of x? A) yes, because you can solve for y B) no, because you cannot solve for a unique y. C) No, because you cannot solve for y

Algebra ->  Functions -> SOLUTION: IS the relation defined by y^2+2x=5 a function of x? A) yes, because you can solve for y B) no, because you cannot solve for a unique y. C) No, because you cannot solve for y      Log On


   

Question 301349: IS the relation defined by y^2+2x=5 a function of x?
A) yes, because you can solve for y
B) no, because you cannot solve for a unique y.
C) No, because you cannot solve for y.
D) Yes, because you can graph the relation
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E2%2B2x=5+
y%5E2=-2x%2B5
y=0+%2B-+sqrt%28-2x%2B5%29
For one unique x value, you have two distinct (not unique) y values.
Therefore it is not a function.
.
.
.
B) no, because you cannot solve for a unique y.