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Rational Rational Vertical Asymptotes Worksheets

Advanced Functions

Rational

Rational Vertical Asymptotes

1. vertical\:asymptotes\:\frac{1}{x}

1. vertical\:asymptotes\:\frac{1}{x}

2. vertical\:asymptotes\:\frac{1}{x^{2}}

2. vertical\:asymptotes\:\frac{1}{x^{2}}

3. vertical\:asymptotes\:\frac{x}{x+1}

3. vertical\:asymptotes\:\frac{x}{x+1}

4. vertical\:asymptotes\:\frac{1}{1+x^{2}}

4. vertical\:asymptotes\:\frac{1}{1+x^{2}}

5. vertical\:asymptotes\:\frac{2}{x}

5. vertical\:asymptotes\:\frac{2}{x}

6. vertical\:asymptotes\:\frac{3}{x^{2}}

6. vertical\:asymptotes\:\frac{3}{x^{2}}

7. vertical\:asymptotes\:\frac{1}{x^{3}}

7. vertical\:asymptotes\:\frac{1}{x^{3}}

8. vertical\:asymptotes\:\frac{x+2}{x-1}

8. vertical\:asymptotes\:\frac{x+2}{x-1}

9. vertical\:asymptotes\:\frac{x^{2}}{x^{2}+1}

9. vertical\:asymptotes\:\frac{x^{2}}{x^{2}+1}

10. vertical\:asymptotes\:\frac{1}{x-3}

10. vertical\:asymptotes\:\frac{1}{x-3}

Answers

Advanced Functions

Rational

Rational Vertical Asymptotes

1. x=0

2. x=0

3. x=-1

4. \mathrm{No\:vertical\:asymptotes}

5. x=0

6. x=0

7. x=0

8. x=1

9. \mathrm{No\:vertical\:asymptotes}

10. x=3