2.4 Graph of the Cube Root Function
Example 11
Graph the cube root function y=3x−1.
Solution
Unlike the square root, the cube root is defined for all real x. The table of values is:
| x | y=3x−1 |
|---|
| −5 | −1.8 |
| −4 | −1.7 |
| −3 | −1.6 |
| −2 | −1.4 |
| −1 | −1.3 |
| 0 | −1 |
| 1 | 0 |
| 2 | 1 |
| 3 | 1.3 |
| 4 | 1.4 |
| 5 | 1.6 |
Plotting these points gives the graph of y=3x−1: it passes through (0,−1) and (1,0), and increases through all real x.
