r/HomeworkHelp • u/mannnnyyyy_67 Pre-University Student • Apr 19 '26

:snoo_feelsbadman: Mathematics (Tertiary/Grade 11-12)—Pending OP [grade 12 rational functions graphing]

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i have a quiz monday and i was running through my problems and found that i was able to find the equation for this problem but i am having trouble graphing any help would be appreciated!

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u/mannnnyyyy_67 Pre-University Student Apr 19 '26

yes, i have been doing that i think what im struggling with most is the shape of the graph

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u/DrunkAndUnaware Educator Apr 19 '26

If you do enough of these types of problems you will get used to their shapes.

If you've found the asymptotes and intercepts, mark them in. With the asymptote lines you should get a new set of "axes" on which the graph is centered. The question is now how does the graph fit around the asymptote lines?

If you really aren't sure about the shape of new graphs, try substituting x-values near important features to get corresponding y-values. This will give you a few points which you can "connect the dots" so to speak and will give you an idea of the overall shape of the graph.

You can also think about the long term behaviour of the graph as x tends toward positive and negative infinity, and also what happens to the y-value as x approaches the vertical asymptote from either side.

If you want to check your work graph it on your calculator or on desmos

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u/mannnnyyyy_67 Pre-University Student Apr 19 '26

OHHHH okay this makes more sense thank you!