# Funcdle

## Definition of Funcdle

**Funcdle** is a puzzle game where players aim to identify the correct mathematical formula represented by the expression $y=f(x)$. The goal is to guess the formula using graphical representations and feedback from previous attempts. Players have six attempts to find the correct formula, with each guess providing valuable clues through color-coded feedback.

## Gameplay of Funcdle

The gameplay of **Funcdle** is both challenging and educational, making it an excellent tool for learning and practicing mathematical concepts. Here’s how it works:

#### Starting the Game

**Objective**: The primary goal is to identify the correct mathematical formula $f(x)$ that corresponds to the graph displayed.

#### Making a Guess

**Inputting the Formula**: Players input their guess for the formula $f(x)$ in the provided text box. After entering the formula, click "Enter" to submit your guess.**Graphical Feedback**: A graph will be displayed based on the formula you input. This visual representation helps you understand how close your guess is to the correct formula.

#### Color-Coded Feedback

**Green Characters**: These characters are correct and in the right position.**Yellow Characters**: These characters are correct but in the wrong position.**Grey Characters**: These characters do not appear in the formula.

#### Refining Your Guesses

**Analyze the Feedback**: Use the color-coded feedback to refine your next guess. Green characters confirm correct parts of the formula, while yellow characters need to be repositioned.**Iterative Process**: You have a total of six attempts to guess the correct formula. Each attempt should bring you closer to the solution by refining your guesses based on the feedback.

## Tips for Playing Funcdle

To excel at **Funcdle** and enhance your mathematical skills, consider these helpful tips:

**Understand Basic Functions**: Familiarize yourself with basic mathematical functions such as linear, quadratic, exponential, and logarithmic functions. This knowledge will help you make more accurate guesses.**Analyze the Graph**: Pay close attention to the graph generated by your guesses. Understanding the shape and behavior of the graph can provide crucial hints about the correct formula.**Use the Feedback**: Make the most of the color-coded feedback. Green and yellow characters guide you towards the correct formula, while grey characters indicate which parts of your guess are incorrect.**Start Simple**: Begin with simple formulas and gradually add complexity. This approach helps you build a solid foundation and understand the relationship between different components of the formula.