Answer true or false. has an oblique asymptote.

Question

Answer true or false.  has an oblique asymptote.

Quizplus · Accepted Answer

The presence of an oblique asymptote can be determined by analyzing the behavior of the function as x approaches positive or negative infinity. Since the given expression has an x raised to a power that is greater than one in the numerator and denominator, it is likely that the function will approach a slant asymptote (oblique asymptote). To confirm this, we can use long division or synthetic division to divide the numerator by the denominator, and observe the quotient. If the quotient has a non-zero constant value, then the function has an oblique asymptote. Without performing the division, we cannot say for sure whether or not the given expression has an oblique asymptote, but we can assume that it does based on the form of the expression.

Answer True or False. Has an Oblique Asymptote