Chapter Review
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Identify the asymptotes. Make a table of values, then plot and connect the obtained points.
Graph:
Domain: All real numbers except 3
Range: All real numbers except 0
y=4/x- 3+ 0 We can see that a= 4, h= 3, and k= 0. Therefore, the domain of the function is all real numbers except 3, the range is all real numbers except 0, and the asymptotes are the lines x= 3 and y= 0. With this in mind, we will make a table of values. Be sure to include numbers on both sides of the domain.
| x | 4/x-3 | y=4/x-3 |
|---|---|---|
| 0 | 4/0-3 | ≈ -1.33 |
| 1 | 4/1-3 | -2 |
| 2 | 4/2-3 | -4 |
| 4 | 4/4-3 | 4 |
| 5 | 4/5-3 | 2 |
| 6 | 4/6-3 | ≈ 1.33 |
Let's now plot and connect the obtained points. Remember that the asymptotes are x=3 and y=0 and that the graph will have two branches.
