With or without the GC, you still need to know the theory for sketching graphs. And for any given graphs, there are 3 features you always need to find (if they exist). They are:
Stationary points
Intercepts (with the axes)
Asymptotes
To find out more about the SIA approach and how to find asymptotes, see the video below:
(9 minutes+, so may take time to load)
For a curve with equation y = N(x)/D(x), where N(x) and D(x) are polynomials, is it possible to have horizontal, vertical and oblique asymptotes occuring together?
Think about it first before viewing the solution:
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