I had a question on a quiz that I just finished and I wanted to know if my answer was right.

Is 4x-y^=0 a function. If so, what is the domain and range? If not, name two points that prove it.

I wrote that it was a function with -5 and lower as a restriction and
Domain (-5, infinity)
Range (- infinity, infinity)

1 answer

written as 4x = y^2, you should realize that you have a parabola, with its axis of symmetry the x-axis, vertex as (0,0), opening to the right.

domain: x ≥ 0
range : any real number

btw, it is not a function

e.g. both (4,4) and (4,-4) lie on it, so we have 2 different y values for the same x, which is a violation of the definition of a function.
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