Is 2 = yx + y a function?

Question

If the said equation is not a function then why? Thank you for answering

Answer 1

2= yx + y

2 = y(x+1)

y = 2/(x+1) is a rectangular hyperbola which is a function.

there's only one y value for any given x value

It passes the vertical line test. It's impossible to cut the graph with a vertical line in more than one place.

plot a few points. It's a hyperbola with 2 separate branches. vertical asymptote is x=-1

horizontal asymptote is the x axis