Slant Asymptotes Worksheet with Answer Key

What's on the worksheet

1. Each function has a slant asymptote.
   \dfrac{6x^3 - x + 2}{4x^2 + 1}\dfrac{-5x^2 + 2x}{10x + 3}\dfrac{2x^5 + 1}{3x^4 - x^3}\dfrac{x^2 + 7}{-4x + 1}
2. Divide, and write each function as a quotient plus a remainder over the denominator.
   \dfrac{x^2 - 4x + 7}{x - 3}\dfrac{6x^2 - 5x + 1}{3x + 2}\dfrac{x^3 + 2x^2 - x + 5}{x^2 + 3}\dfrac{-2x^3 + x^2 + 4}{x^2 - x}
3. For each function, say what its graph does far out:
   \dfrac{5x^2 - 1}{2x^2 + x}\dfrac{x^2 + x - 12}{x - 3}\dfrac{x^4 + x}{x^2 - 5}\dfrac{3x^3 - 2x^2 + 1}{x^2 + 4}
4. The denominator of $f
5. Diego runs the math club's calendar fundraiser.
6. Let $h