Teaching JKPSC Lecturership Mock Test Series 2024-25 Mathematical Science Numerical Analysis Numerical Differentiation and Integration
Given the following data
| x | 1 | 2 | 3 | 4 |
| f(x) | 4 | 7 | 11 | 23 |
The piecewise linear interpolating polynomial for 2 ≤ x ≤ 3 is
1
p(x) = 4x + 2
2
p(x) = 4x - 1
3
p(x) = 3x + 11
4
p(x) = 5x + 1