(1) Find all asymptotes and sketch the function.
x3 + 5
(a) f(x) = ------------
x2 + 3x + 1
x2
(b) g(x) = -------
x - 3
x3 - 4x2 - 49x - 90
(c) y = ---------------------
2x2 +12x + 18
4x5 - 6
(d) h(x) = ----------
9x5 + 7x2
x4 - 3x3 + 5x2 - 7x + 9
(e) y = -----------------------------
x5 - x4 - x3 + 3x2 - 5x + 18
HINT: All functions have multiple asymptotes, which may be horizontal, vertical, or oblique. To sketch, try drawing the asymptotes and plotting a few points, including the intercepts.