Answer
The slant asymptote of a rational function can be determined if the degree of the numerator is greater than the degree of the denominator by one unit.
Work Step by Step
The slant asymptote of a rational function $\frac{P(x)}{Q(x)}$ can be determined if the degree of the numerator $P(x)$ is greater than the degree of the denominator $Q(x)$ by exactly one unit:
$$\text{degree }P(x)=\text{degree }Q(x)+1.$$
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