Extra-credit: Graph f(x) = x-1/ sqrt x^2 -x - 2

[woooo]

Can someone help me to graph this ?

f(x) = x-1/ sqrt x^2 -x - 2

Thanks!!!

 

[Loren]

Re: Extra-credit problem

As written f(x) = x-1/ sqrt x^2 -x - 2 means \(\displaystyle f(x)=x-\frac{1}{\sqrt{x^2}}-x-2\)

Maybe you want to put some parenthesis in there to clarify what you really mean.

 

[woooo]

Re: Extra-credit problem

i am sorry about that
its (x-1)/ sqrt(x^2-x-2)

 

[skeeter]

Re: Extra-credit problem

it may help to note that the expression inside the radical will factor.

 

[woooo]

Re: Extra-credit problem

yea i did that, what should i do after that ?

 

[stapel]

yea i did that, what should i do after that ?

Pick an x-value. Plug it in. Find the corresponding y-value. Draw the dot.

Repeat the process until you have enough dots to sketch the graph. :wink:

Eliz.

 

[skeeter]

you should also note that the graph will have two vertical asymptotes, two horizontal asymptotes, and a region of x-values where f(x) is undefined.

 

[woooo]

thank u so much for everyone's help :mrgreen: . I was able to figure it out