(Hi)

i'm trying to get all the possible informations about a function from its graph and i mean by informations;limits,asymptotes..

i hope someone would help me extract those informations from this example :

Let :

and here's its graph :

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- Jun 30th 2009, 06:57 AMRaohGet everything from the graph
(Hi)

i'm trying to get all the possible informations about a function from its graph and i mean by informations;limits,asymptotes..

i hope someone would help me extract those informations from this example :

Let :

and here's its graph : - Jun 30th 2009, 07:50 AMSoroban
Hello, Raoh!

Quote:

I'm trying to get all the possible informations about a function from its graph

and i mean by informations: limits, asymptotes . . .

. . and a horizontal asymptote:

It also seems to be a hyperbola.

The hyperbola: . .has center (0,0) and appears in Quadrants 1 and 3.

The hyperbola: . .has center (0,0) and appears in Quadrants 2 and 4.

Our hyperbola has center (-1, 1) and*seems*to contain: (3,0), (1,-1), (0,-3).

I would conclude that the function is: .

- Jun 30th 2009, 08:00 AMdhiab
- Jun 30th 2009, 09:05 AMRaoh
thanks guys,but i still don't understand (Headbang)

i'm gonna try to illustrate what i wanted to understand from that graph

and i don't need just values,i wanna know how (Happy)

thanks a lot. - Jun 30th 2009, 11:16 AMVonNemo19
- Jun 30th 2009, 11:17 AMdhiab
Hello : I'have anathor solution

That function is homographic :http://www.mathramz.com/xyz/latexren...08d6d2d993.png

**1)**

http://www.mathramz.com/xyz/latexren...e34e65d68c.png

**2)**

http://www.mathramz.com/xyz/latexren...d91de2c6b5.png

**3 )**

**x=-1 is asymtot : http://www.mathramz.com/xyz/latexren...298718368f.png**

**4 ) y=1 is asymtot :**

**http://www.mathramz.com/xyz/latexren...f888488fce.png**

**I'have this system : http://www.mathramz.com/xyz/latexren...9e55255f07.png**

**Subst in f(x) :**

http://www.mathramz.com/xyz/latexren...828f1d90eb.png

**conclusion :**http://www.mathramz.com/xyz/latexren...6324a15872.png - Jun 30th 2009, 12:52 PMRaoh
thanks again for everyone,but i should say that the last post got me a little twisted(Worried),because i can't tell from the graph that the function should be written like this ,in contrary i like how "Soroban" concluded that the function is indeed ,but i don't understand his steps (Worried), any help ?

- Jun 30th 2009, 01:00 PMVonNemo19
- Jun 30th 2009, 01:50 PMRaoh
alright,the domain can tell what should be written in the denominator(i'm not sure if always(Thinking)),what about the numerator ?

thanks.

sorry to bother you guys.(Worried)