Question

is x+6=y^2 a function? How do I figure out if it is? thx.

Answer 1

Well, define function for me.

Answer 2

x+6=y^2 a function

A function has for each x of the domain of the function exactly one y for that x.

In x + 6 = y^2, find the y value(s) that go with x when x = 0.

If there are two different y values for the same x, then x+6=y^2 is not a function.

Graph the equation and see if the graph passes the vertical line test.

http://www.wolframalpha.com/input/?i=+x%2B6%3Dy%5E2+

Answer 3

No it's not. As directix as had, a function has for each x of the doman of the function exactly one y for that x.

Solving for y;
y^2 = x + 6
Take the square root, remember when yo utake the square root of a variable, you must account for plus or minus roots.

y = plus/minus(x+6)

All this means is, for EVERY y, there is a negative answer, and a positive answer. Meaning there are two results for each Y, this means y^2
= x + 6 is NOT a function.