define whether each equation defines Y as a function of X ( X+Y^2=5)

Question

anonymous · Answer

Not a function in x, since if you solve for y it becomes clear that one x would be paired with twp y-values (violates definition)$$x+y^2=5$$$$y^2=5-x$$$$y=\pm \sqrt{x-5}$$

anonymous · Answer

Ex. let x=9, then$$y=\pm \sqrt{9-5}=\pm \sqrt{4}=\pm 2$$
Thus (9,-2) and (9,2)

anonymous · Answer

If it were a function in x, then each x-value would be paired with one and only one y-value

anonymous · Answer

so it cant be squared 
what if the question is X^2 +Y =5

anonymous · Answer

THAT IS A FUNCTION RIGHT

anonymous · Answer

That is ok since you would have$$y=-x^2+5$$each x would pair with only one y-value (not uniquely) but with only one at a time

anonymous · Answer

right it is a function in x

anonymous · Answer

THANKS

anonymous · Answer

ur welcome :})