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Assignments

Determine of the following functions (if possible) the vertical and horizontal asymptotes, the intersections with the Y- and X-axis and sketch the graph.

1.  y=\displaystyle\frac{1}{x}

Solution

2. y=\displaystyle\frac{1}{x-2}

Solution

3. y=-1+\displaystyle\frac{1}{x+3}

Solution

4. y=1+\displaystyle\frac{2}{x-3}

Solution

5. y=\displaystyle\frac{x+2}{x-2}

Solution

6. y=1-\displaystyle\frac{x-1}{x+1}

Solution

7. y=\displaystyle\frac{x^2+5x+6}{x+2}

Solution

8. y=\displaystyle\frac{x^2-1}{x+1}

Solution

9. y=\displaystyle\frac{x^2-x+1}{x-1}

Solution

10.  y=\displaystyle\frac{x^3-1}{x}

Solution

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