Reciprocal graphs
Graphs of the form \(y = \frac{1}{x}\), \(y = \frac{2}{x}\), \(y = \frac{3}{x}\), etc., are known as reciprocal graphs, and they all have a similar shape:
\(\frac{1}{x} = blue\)
\(\frac{2}{x} = red\)
\(\frac{3}{x} = green\)
| \(\text{x}\) | -5 | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 |
| \(y = \frac{1}{x}\) | -0.2 | -0.25 | -0.33 | -0.5 | -1 | No value | 1 | 0.5 | 0.33 | 0.25 | 0.2 |
| \(y = \frac{2}{x}\) | -0.4 | -0.5 | -0.67 | -1 | -2 | No value | 2 | 1 | 0.67 | 0.5 | 0.4 |
| \(y = \frac{3}{x}\) | -0.6 | -0.75 | -1 | -1.5 | -3 | No value | 3 | 1.5 | 1 | 0.75 | 0.6 |
| \(\text{x}\) |
|---|
| -5 |
| -4 |
| -3 |
| -2 |
| -1 |
| 0 |
| 1 |
| 2 |
| 3 |
| 4 |
| 5 |
| \(y = \frac{1}{x}\) |
|---|
| -0.2 |
| -0.25 |
| -0.33 |
| -0.5 |
| -1 |
| No value |
| 1 |
| 0.5 |
| 0.33 |
| 0.25 |
| 0.2 |
| \(y = \frac{2}{x}\) |
|---|
| -0.4 |
| -0.5 |
| -0.67 |
| -1 |
| -2 |
| No value |
| 2 |
| 1 |
| 0.67 |
| 0.5 |
| 0.4 |
| \(y = \frac{3}{x}\) |
|---|
| -0.6 |
| -0.75 |
| -1 |
| -1.5 |
| -3 |
| No value |
| 3 |
| 1.5 |
| 1 |
| 0.75 |
| 0.6 |
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