on a recent math test in Pre Cal 12 which I would have gotten perfect if it weren't for the .5 marks I lost on a question appeared a problem which asked me to draw the image of a function after certain transformations are applied to it. The image appeared to be a rational function. I labeled the asymptotes and intercepts to help me better sketch the graph, however I did not draw the asymptotes on the graph grid; I lost .5 marks for that even though I specified the asymptote equations under the question AND the question DID NOT SPECIFY to DRAW the asymptotes on the graph grid. Please answer me how is this marking justified?
2026-03-25 14:06:05.1774447565
should the asymptote be apart of a rational function when graphed
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The asymptote isn't a "part" of the graph. It's moreso a property of it: that the limit as the graph approaches a point approaches a certain value but never reaches it. Though as was noted in a comment, it is also a graphing tool, somewhat.
I imagine the marks were taken off because the asymptote is precisely that property. It was likely only 0.5 marks taken off because it's sort of a technicality: after all, if you already know the asymptotes, why bother? But it's still cutting corners at the pre-calculus level, thus some amount had to be taken off.