I can see your first mistake , "there are no asymptotes", there is an asymptote for at with and . However, there are no horizontal asymptotes because .
Ok I've worked on these for a while and can't seem to come up with the right answer. Can someone help me out?
1. f(x) = x^2/1-x
Find the critical points
2. f(x) = x^6 - 3x^4 + 3x^2 - 1
Find the critical points
Were also asked to find the domain, intercepts, symmetry and asymptotes. I'm pretty sure there aren't asymptotes for either one, and I'm pretty sure I got the answers to the others. If you want to answer those to to verify my answers that would be great. Thanks!
To find the critical points, take the derivative of the function and set it equal to 0. Then solve for x.
1. f(x) = x^2/1-x
x=2,0
So the critical points are (2,f(2)) and (0, f(0))
So the final answer is (2,-4) and (0, 0)
I will leave you to do the second question