Graphing Calculator

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Key Features:

1. Input Field:
   • The user can enter a mathematical equation in the input field, like y = x^2 or y = Math.sin(x).
   • The input equation should use x as the variable (for example: y = x^2).
2. Plot the Graph:
   • When the user clicks the "Plot Graph" button, the equation is parsed and plotted using the Plotly.js library.
   • The eval() function is used to calculate the value of the equation at various x-values.
3. Interactive Graph:
   • The graph is interactive, meaning the user can zoom in, zoom out, and pan around the graph.
4. Customizable:
   • The user can enter any mathematical equation as long as it uses x and is valid JavaScript syntax.
   • You can expand the functionality to support more complex parsing (like handling y = x^2 + 2x + 1).

How the Graphing Calculator Works:

• Equation Parsing: The entered equation is evaluated by replacing x with the corresponding values in the range -10 to 10.
• Plotting: The Plotly.newPlot() function plots the graph using the xValues and yValues.
• Interactivity: Plotly automatically provides zooming and panning capabilities to the plot.

Example Use:

• Plotting y = x^2:
  1. Enter x^2 into the input field.
  2. Click "Plot Graph".
  3. The graph of y=x2y = x^2y=x2 will be plotted.
• Plotting y = Math.sin(x):
  1. Enter Math.sin(x) into the input field.
  2. Click "Plot Graph".
  3. The graph of y=sin⁡(x)y = \sin(x)y=sin(x) will be plotted.

Enhancements You Can Make:

1. Error Handling: Currently, if the equation is invalid, the calculator will show an alert. You can add more detailed error handling for better user experience.
2. Multiple Graphs: Allow users to input multiple equations and plot them on the same graph.
3. Customizable Range: Allow the user to customize the range of x values (e.g., -10 to 10), or input both start and end points for plotting.
4. Complex Graphing: Add functionality to plot parametric equations or polar equations, which would require some extra logic for handling different types of input.

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Conclusion:

This Graphing Calculator is a simple yet powerful tool for visualizing mathematical functions. It utilizes the Plotly.js library, which offers interactive plotting with features like zooming and panning. With this basic version, users can input and plot mathematical functions of x. You can expand it to include more features, such as support for multiple equations, parametric plots, or even solving equations based on graphical intersections.

Let me know if you need further improvements or features!