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- Can a rational function have BOTH a horizontal asymptote and a slant asymptote?

- If a rational function $\frac{p(x)}{q(x)}$ has a slant asymptote, then $\cdots\cdots$

- The equation of a slant asymptote (of a rational function $\frac{p(x)}{q(x)}$) is usually $\cdots\cdots$

- Which of the rational functions below is NOT likely to have a slant asymptote?

- Find the equation of the slant asymptote of the rational function $y=\frac{x^2-9}{x+2}$

- What is the equation of the slant asymptote of the rational function $\frac{ax^2+bx+c}{x-2}$? (Assume $a,b,c\neq 0$)

- If the line $y=2x-1$ is the equation of the slant asymptote for the rational function $\frac{2x^2+bx+5}{x-1}$, the value of $b$ is $\cdots\cdots$

- Find the equation of the slant asymptote of the rational function $y=\frac{5x^2+2x+1}{3x+7}$

- Find the equation of the slant asymptote of the rational function $y=\frac{x^2-4x+4}{x-3}$

- Find the equation of the slant asymptote of the rational function $y=\frac{x^2-a^2}{x-b}$