Math Is Fun Forum

Identity

Member

Registered: 2007-04-18

Posts: 934

Asymptotes

Find the asymptotes of the graph

using
a) Transformations
b) Solving

Thanks!

luca-deltodesco

Member

Registered: 2006-05-05

Posts: 1,470

Re: Asymptotes

a)
asymptotes of

are at

the transformation on x is a scaling by 3, then a displacement by -pi/3, which doing the opposite way round is a displacement by pi/3, then a scaling by a 1/3
so the asymptotes are at

which in the region given gives:

b) solving it:

which as before gives:

Last edited by luca-deltodesco (2009-03-07 22:14:54)

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Identity

Member

Registered: 2007-04-18

Posts: 934

Re: Asymptotes

Thanks luca-deltodesco!

I'm just wondering, which method do you prefer? My teachers like the transformation method but I find it very annoying!

Last edited by Identity (2009-03-07 22:26:46)