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End behavior of rational functions

Problem

Consider the following rational function f.
f, left parenthesis, x, right parenthesis, equals, start fraction, 6, x, cubed, minus, x, squared, plus, 7, divided by, 2, x, plus, 5, end fraction
Determine f's end behavior.
f, left parenthesis, x, right parenthesis, \to
as x, \to, minus, infinity.
f, left parenthesis, x, right parenthesis, \to
as x, \to, infinity.
Stuck?
Stuck?