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Rational Rational Range Worksheets

Advanced Functions

Rational

Rational Range

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Answers

Advanced Functions

Rational

Rational Range

1. f(x)<0\lor f(x)>0

2. f(x)>0

3. f(x)<1\lor f(x)>1

4. 0<f(x)\le 1

5. f(x)<0\lor f(x)>0

6. f(x)>0

7. f(x)<0\lor f(x)>0

8. f(x)<1\lor f(x)>1

9. 0\le f(x)<1

10. f(x)<0\lor f(x)>0