Posted by Anonymous on .
Consider the function f(x) = x/(x1)
Are there any turning points? Explain how this could help you graph f(x) for large values of x?
Ans: turning points is another word for checking the concavity, and therefore i find the second derivative and equate it to zero and see where it is concave up and down, using that information i can know when the graph is increasing or decreasing, with its end behaviors near the asymptote

Math  Simple rational Function (check) 
Reiny,
Correct.
Did you find any turning points? 
Math  Simple rational Function (check) 
Anonymous,
I get the second derivative as f''(x) = 2/(x1)^3. If f''(x) = 0 then there are no solutions, hence there are no turning points.
Am i correct? But how does that help me graph f(x) for large values.