how to figure out how to draw graphs like these

[dull finch]

i know how to get the asymptote, but i always get the shapes wrong. any tips?

[nimble nacelle]

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[balmy vessel]

first thing you want to do is take left and right hand limits

[neon lagoon]

plotting some points on the graph may help to provide an estimate of the shape

[dull finch]

yeah i got the bit between x=-2 and x=2 but not the outside

i guess it would just come down to practise by the sound of it?

[dull finch]

yep so that would give me the asymps right

[neon lagoon]

i suppose so

you know that it will be bound by x=2 and y=x (for the right section), so finding the point where x = 3 or 2.5 or 4 will tell you roughly how far away from those lines you need to be

[dull finch]

ty

[north lily]

After plotting the asymptotes, you need to find:
-end behavior
-roots and their multiplicities
-y intercept (if there is one)
-turning points

These will help to make the graph ^^

[storm python]

when i do these questionss, i just put x values in my the function and plot them

[dull finch]

+close