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graph drawing... watch

1. how to draw
y = (x+1)/ (x^2 +2x + 2)

thanks
2. Asymptotes - my favourite.

Your bottom line doesnt factorise (b^2 - 4ac < 0 (so there is no vertical asumptote)

As x tends to positive or negative infinity y tends towards 0 so y = 0 is your horizontal asumptote.

Now investigate the approach. SHove in + or - infinity in your equation and see if it comes out positive or negative.

If its positve it approachs from above when the line goes right (+)

Vice versa i its negative.

Now differentiate and find stationary points using the product rule. Justify their natures by differentiating again.

Following this set the equation to 0 to find x itnercpets and find f(0) to find y intercepts.

Then sketch. These questions if done proper;y take a few sides of lined paper (if they are being marked strictly)
3. ahh thanks, yeah its looks like a pretty long process, i guess i was trying to look for a quick way out :P thanks again
4. (Original post by kcfch)
ahh thanks, yeah its looks like a pretty long process, i guess i was trying to look for a quick way out :P thanks again
No worries. In a recent (easy) test I had, the whole thing took me about 25 mins. About 15 of those was drawing the graph..
5. ahh i've just tried it and realised that you dont need to differentiate and find stationary points
i just stuck in x = 0 and y = 0
and then tried in positive and negative infinity for x
its pretty straight forward this one is actually, ah well, thanks again

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