Let \displaystyle f(x) = \frac{x^{2}}{\left(x-2\right)^{2}}. Answer the following questions.

** 1. ** Find the vertical asymptote(s) of f.

Answer (separate by commas):x =

Answer (separate by commas):

** 2. ** Find the horizontal asymptote(s) of

Answer (separate by commas):

** 3. ** Find the interval(s) on which

Answer (in interval notation):

** 4. ** Find the interval(s) on which

Answer (in interval notation):

** 5. ** Find the local maxima of ** List your answers as points in the form (a,b). **

Answer (separate by commas):

** 6. ** Find the local minima of ** List your answers as points in the form (a,b). **

Answer (separate by commas):

** 7. ** Find the interval(s) on which

Answer (in interval notation):

** 8. ** Find the interval(s) on which

Answer (in interval notation):

You can earn partial credit on this problem.