Define f and its first and second derivative as: (please note the prime symbols in the equation AKA first and second derivative)

f(x)=x2/(1x2)

f(x)=2x/(1x2)2

f(x)=2(3x2+1)/(x21)3

(a) State the vertical and horizontal asymptotes of f.

(b) Find the interval(s) where f is increasing and decreasing.

(c) Find the interval(s) where f is concave up and concave down.

(d) Sketch the graph of f. (Label asymptotes and intercepts) Your graph needs to use the information you found above - otherwise it will be incorrect