Understanding the Turning Point and Asymptote of a Calculus Sketch

[aricho]

hey guys, having trouble with this one:

y=x + 4/(x-1)

i have found 1st and 2nd derivatives.

Minimum turing point at (1/2, 15/4) and there are no points of inflexion. there is an asympote at x=1...right.

This line is more than just that though isn't it? how can u tell that you got all the lines? we did it in class with limits but i kinda didnt get it.


All help is apprecaited...thanks!

 

[J77]

How about the simple questions like:

What's the value of y at x=0?

and

What's the value of x at y=0?

(You are correct about the asymptote at x=1 - which direction does it go?)

I also get different x-values for the turning point(s).