No.052 Graphing Inverse Proportion
POINT
Use y = a/x to calculate points on both sides of the y-axis. At x = 0 the value is undefined. Draw two smooth curves approaching, but never touching, the axes.
Example
Complete the table below and draw the graph of y = 6/x.
| x | −6 | −3 | −2 | −1 | 1 | 2 | 3 | 6 |
|---|---|---|---|---|---|---|---|---|
| y |
Practice
y = a/x → (x, y) → 📈
01
Complete the table below and draw the graph of y = 8/x.
| x | -4 | -2 | -1 | 1 | 2 | 4 |
|---|---|---|---|---|---|---|
| y |
| x | -4 | -2 | -1 | 1 | 2 | 4 |
|---|---|---|---|---|---|---|
| y | -2 | -4 | -8 | 8 | 4 | 2 |
02
Complete the table below and draw the graph of y = 12/x.
| x | -6 | -3 | -2 | 2 | 3 | 6 |
|---|---|---|---|---|---|---|
| y |
| x | -6 | -3 | -2 | 2 | 3 | 6 |
|---|---|---|---|---|---|---|
| y | -2 | -4 | -6 | 6 | 4 | 2 |
03
Complete the table below and draw the graph of y = 4/x.
| x | -4 | -2 | -1 | 1 | 2 | 4 |
|---|---|---|---|---|---|---|
| y |
| x | -4 | -2 | -1 | 1 | 2 | 4 |
|---|---|---|---|---|---|---|
| y | -1 | -2 | -4 | 4 | 2 | 1 |
04
Complete the table below and draw the graph of y = -6/x.
| x | -6 | -3 | -2 | 2 | 3 | 6 |
|---|---|---|---|---|---|---|
| y |
| x | -6 | -3 | -2 | 2 | 3 | 6 |
|---|---|---|---|---|---|---|
| y | 1 | 2 | 3 | -3 | -2 | -1 |
05
Complete the table below and draw the graph of y = -8/x.
| x | -4 | -2 | -1 | 1 | 2 | 4 |
|---|---|---|---|---|---|---|
| y |
| x | -4 | -2 | -1 | 1 | 2 | 4 |
|---|---|---|---|---|---|---|
| y | 2 | 4 | 8 | -8 | -4 | -2 |
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