# **App Name**: Lagrange Leap

## Core Features:

- Data Input: User input for data points (x, y) for interpolation.
- Specify Interpolation Point: Allows the user to define the point at which they wish to estimate a function's value using interpolation.
- Interpolation Calculation: Calculation of Lagrange interpolation polynomial and interpolated value.
- Result Display: Display the calculated interpolated value at the specified point.
- Polynomial Display: Displaying the Lagrange polynomial so the user can inspect the computation

## Style Guidelines:

- Primary color: Deep blue (#3F51B5) to convey a sense of mathematical precision and reliability.
- Background color: Light gray (#F0F2F5), offering a neutral backdrop that ensures readability and focuses user attention on the data and results.
- Accent color: Vibrant orange (#FF9800), drawing attention to important interactive elements and results.
- Body and headline font: 'Inter' sans-serif font, lending the interface a clean and modern feel for improved readability. Suitable for both headlines and body text.
- Simple, geometric icons to represent data points and functions.
- Clear, structured layout with distinct sections for input, calculation, and results.
- Subtle transitions for displaying results and highlighting interactions.