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Can the graph of a rational function have both a horizontal and an oblique
asymptote? Explain.
2007-08-09 04:08:56 · 2 answers · asked by no idea 2 in Science & Mathematics ➔ Mathematics
No.
In order to have a horizontal asymptote, the degree of the numerator must be less than or equal to the degree of the denominator.
An oblique asymptote occurs when the degree of the numerator is greater than the degree of the denominator.
2007-08-09 05:18:45 · answer #1 · answered by MsMath 7 · 0⤊ 0⤋
Sure. For example, a function might have an oblique asymptote as x approaches minus infinity and a horizontal asymptote as x approaches plus infinity.
The answer that refers to the degrees of the numerator and denominator incorrectly assumes that only rational functions are allowed.
2007-08-09 14:23:52 · answer #2 · answered by Tony 7 · 0⤊ 0⤋