Linear Interpolation
Method that consists of determining a new value using the construction rule for a table of numerical values.
Example
Consider the function defined by [latex]f(x) = 2x − 1[/latex].| x | −3 | −1 | 1 | 3 | 4 | 5 |
| f(x) | −7 | −3 | 1 | 5 | 7 | 9 |
Given [latex]x[/latex] = 10, linear interpolation can be used to determine that [latex]f(x) = 19[/latex].