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Advanced Functions Rational Worksheets - Téléchargez des PDF gratuits

Advanced Functions

Rational

Rational Domain

1.\:\:domain\:\frac{1}{x}

2.\:\:domain\:\frac{1}{x^{2}}

3.\:\:domain\:\frac{x}{x+1}

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

5.\:\:domain\:\frac{2}{x}

6.\:\:domain\:\frac{3}{x^{2}}

7.\:\:domain\:\frac{1}{x^{3}}

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

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

10.\:\:domain\:\frac{1}{x-3}

Advanced Functions

Rational

Rational Range

1.\:\:range\:\frac{1}{x}

2.\:\:range\:\frac{1}{x^{2}}

3.\:\:range\:\frac{x}{x+1}

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

5.\:\:range\:\frac{2}{x}

6.\:\:range\:\frac{3}{x^{2}}

7.\:\:range\:\frac{1}{x^{3}}

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

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

10.\:\:range\:\frac{1}{x-3}

Advanced Functions

Rational

Rational X-Axis Intercepts

1.\:\:x-intercepts\:\frac{1}{x}

2.\:\:x-intercepts\:\frac{1}{x^{2}}

3.\:\:x-intercepts\:\frac{x}{x+1}

4.\:\:x-intercepts\:\frac{1}{1+x^{2}}

5.\:\:x-intercepts\:\frac{2}{x}

6.\:\:x-intercepts\:\frac{3}{x^{2}}

7.\:\:x-intercepts\:\frac{1}{x^{3}}

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

9.\:\:x-intercepts\:\frac{x^{2}}{x^{2}+1}

10.\:\:x-intercepts\:\frac{1}{x-3}

Advanced Functions

Rational

Rational Y-Axis Intercepts

1.\:\:y-intercepts\:\frac{1}{x}

2.\:\:y-intercepts\:\frac{1}{x^{2}}

3.\:\:y-intercepts\:\frac{x}{x+1}

4.\:\:y-intercepts\:\frac{1}{1+x^{2}}

5.\:\:y-intercepts\:\frac{2}{x}

6.\:\:y-intercepts\:\frac{3}{x^{2}}

7.\:\:y-intercepts\:\frac{1}{x^{3}}

8.\:\:y-intercepts\:\frac{x+2}{x-1}

9.\:\:y-intercepts\:\frac{x^{2}}{x^{2}+1}

10.\:\:y-intercepts\:\frac{1}{x-3}

Advanced Functions

Rational

Rational Vertical Asymptotes

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

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

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

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

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

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

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

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

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

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

Advanced Functions

Rational

Rational Horizontal Asymptotes

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

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

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

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

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

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

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

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

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

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