Method that consists of determining a new value using the construction rule for a table of numerical values.

### Example

Consider the function defined by \(f(x) = 2x − 1\).

*x* |
−3 |
−1 |
1 |
3 |
4 |
5 |

*f*(*x*) |
−7 |
−3 |
1 |
5 |
7 |
9 |

Given \(x\) = 10, linear interpolation can be used to determine that \(f(x) = 19\).