Given f(x) = 1 x 2 − 1 , f 0 (x) = −2x (x 2 − 1)2 and f 00(x) =
2(3x 2 + 1) (x 2 − 1)3 . (a) [2 marks] Find the x-intercept and the
y-intercept of f, if any. (b) [3 marks] Find the horizontal and
vertical asymptotes for the graph of y = f(x). (c) [4 marks]
Determine the intervals where f is increasing, decreasing, and find
the point(s) of relative extrema, if any....