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4-128.

Write a complete set of approach statements for the following functions. Also, name any end behavior functions.

$f ( x ) = \frac { x ^ { 2 } - 2 x - 3 } { x - 2 }$
Hint 1(a):
A complete set of approach statements will include:
$x→+∞$
$x→−∞$
$x→$ (hole)^{$^{−}$}
$x→$ (hole)^{$^{+}$}
$x→$ (vertical asymptote)^{$^{−}$}
$x→$ (vertical asymptote)^{$^{+}$}
Hint 2(a):
If a function has a horizontal asymptote, then that is also the end behavior.

$f ( x ) = \frac { \operatorname { cos } x } { x }$
Hint (b):
Refer to hint in part (a).

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