FREE KARMA ~ yes another question thread . . ;]

[crayolé]

I'm going to stop flooding up the board with topics and just stick to this one ;]

So first up,

I had a question that asked me to find the details of the graph
The answers say there is an assymptote at y=0 however, if you sub in x=0 then you get the point (0,0)
Hence the graph touches the assymptote, how does that work? I thought the graph only approached the assymptote?

[brightsky]

To find the y-axis, let :



To find the x-axis, let



Either or

The latter is impossible, hence is the only solution.

So the graph goes through (0,0).

As for the asymptote, the range of the graph is . y can never be a negative number, but it can be 0, i.e. when x = 0.

[Albeno69]

good luck with getting into dentistry i know a dentist and he said its very hard to get into and you have a lot of drop outs.lol good luck.

[crayolé]

Thanks ;]

How do i turn this into the general hyperbola form?

[superflya]

long divide

[the.watchman]

Long divide, or:

[m@tty]

Not that it makes much difference, buuut... I would do it this way(the difference is in the second step):



...

[crayolé]

Hmm, sorry for my stupidity but how would you do it by long division?

I dont think I understand the way you guys are doing it

Thanks for the responses so far though ;]

[the.watchman]

        -3____
-x+4 | 3x-2
         3x-12
            10

So you have

Hope that came out ok

[crayolé]

Thank you ;] I think i understand now

Whats the name of the method that m@tty used?

How would I solve for x?



Heres my working so far but I have trouble going any further :/

[m@tty]

It's called synthetic devision.

Just transpose:

[crayolé]

Oh sorry, How would you find the x intercepts? Would you use the same method?

Thanks a lot by the way <3 My crappy school never teaches this kind of stuff. I finally understand

[brightsky]

Yeah, let y = 0 and solve.

[the.watchman]

To find x-intercepts, the other form is easier:

Let

So ,     

[m@tty]

Yeah, same thing. Just let y=0.

No problem.