can anyone help me in graphing this ?

f(x) = whole sqrt x + 3/x - 2

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- Mar 17th 2008, 06:30 PMdarkangelExtra-credit problem
can anyone help me in graphing this ?

f(x) = whole sqrt x + 3/x - 2 - Mar 17th 2008, 07:44 PMmr fantastic
- Mar 17th 2008, 07:58 PMdarkangel
i am sorry about that

its f(x) = whole sqrt (x + 3)/(x - 2) - Mar 17th 2008, 08:26 PMmr fantastic
.

First of all you should establish the implied domain. You need AND x - 2 > 0 => ......, OR AND x - 2 < 0 => ......

There's no y-intercept (why?).

x-int: Solve x + 3 = 0 (why?).

Vertical asymptote is got from solving x - 2 = 0 (why?).

Horizontal asymptote: As , y --> 1 (why?). In fact, as x --> -oo, y --> 1 from below (why?) and as x --> +oo, y --> 1 from above (why?)

Stationary points: Solve dy/dx = 0. (Hint: There are none).

Now draw the shape that ties all these features together ..... - Mar 17th 2008, 08:49 PMdarkangel
thank u so much for ur response...(Nod)

umm i did not understand about the horizontal asymtote ( like how can i find it, if i get one of these problems on the test ) - Mar 17th 2008, 09:25 PMdarkangel
nevermind.. i figured it out

thanks again for ur answer