Mathematical Graph Depicting Functions and Equations

This illustration showcases two distinct mathematical graphs, each set on a standard Cartesian coordinate system with four labeled quadrants. The left panel depicts a dynamic scenario where a purple path originates from the second quadrant, appears to reflect at the origin, and then extends into the first quadrant, resembling a V-shaped trajectory. This could represent a piecewise function, such as an absolute value function, or the reflection of a ray. Yellow markers signify specific points along this path, and a stylized sun at the top suggests a light source or an initial point. The right panel illustrates a straightforward linear relationship, with a purple line extending diagonally from the first quadrant through the origin into the third quadrant. This visually represents a direct proportional function (y=mx), with additional yellow points marking positions along its continuous slope. Both graphs feature numerical axes and clearly marked quadrants, serving as excellent visual aids for understanding different mathematical functions and their graphical representations, or even simple physics concepts like linear motion and reflection.

mathematical graph - functions - equations - coordinate plane - reflection - linear - geometry - diagrams