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Am i really allowed to let x = 0 here

3x^2-y(x-4)-1 and putting d>0

don't we need to worry about the fact that x=0 is not part of the domain

here is my graph of the equation

It is a point discontinuity, should not be part of the domain

so then the curve doesn't have a y-intercept as its discontinuous at that point

I'm only in high school... so they may do other things at university

Exactly! there should not be any y intercepts for this curve but idk what wolfram is thinking lol

Your graphing calculator is correctly saying (0, 1/4) is a point discont

lol this is confusing, I'll just have my teacher explain it to me tomorrow

then im convinced wolfram is lying about the y intercept

or perhaps some definition of a y intercept somewhere includes the limit?