Question

Given the function: f(x)=x^3(x-2)^2 , on the interval [-1,3] find the domain and Asymptotes

...Isn't the domain (-1<x<3) ? and as for the asymptotes I thought you could only find them for rational functions and since that function is not rational I guess there aren't any...???

Answer 1

I agree with you, although I don't know whay you say it isn't a rational function. The domain is [-1,3]. It makes no sense to ask for asymptotes in a limited interval. The function never approaches straight-line behavior.

Answer 2

yes that's what I thought. Thank you!