What is an oblique asymptote? How can one identify functions that have oblique asymptotes? Can a graph cross an oblique asymptote?
◦ An oblique asymptote is a nonhorizontal, nonvertical boundary that a function might approach increasingly closely, but never reach over some extended interval. Oblique asymptotes occur in rational functions when the degree of the numerator is equal to the degree of the denominator. A graph cannot cross an oblique asymptote.
◦ An oblique asymptote is the same thing as a horizontal asymptote. Oblique asymptotes occur in rational functions when the degree of the numerator is less than or equal to the degree of the denominator. A graph can cross an oblique asymptote.
◦ An oblique asymptote is a nonhorizontal, nonvertical boundary that a function might approach increasingly closely, but never reach over some extended interval. Oblique asymptotes occur in rational functions when the degree of the numerator is less than or equal to the degree of the denominator. A graph can cross an oblique asymptote.
◦ An oblique asymptote is a nonhorizontal, nonvertical boundary that a function might approach increasingly closely, but never reach over some extended interval. Oblique asymptotes occur in rational functions when the degree of the numerator is exactly one more than the degree of the denominator. A graph can cross an oblique asymptote.
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