How do you determine the equation of a graphed function?

To determine the equation of a graphed function, start by identifying key features such as intercepts, slopes, and any symmetry. For linear functions, you can use the slope-intercept form (y = mx + b) by finding the slope (m) and y-intercept (b). For non-linear functions, observe the shape of the graph (e.g., parabolas, exponentials) and find points or patterns to derive the equation. Finally, use techniques like regression analysis if needed to fit a curve to the data points accurately.