Exponential vs Linear

The animation illustrates how the exponential curve $y=2^x$ initially starts below the linear line $y=4x$, intersects it at the point $(4, 16)$, and then rapidly overtakes it, reaching a value of 64 at $x=6$ compared to the line's 24. This visual demonstrates the superior growth rate of exponential functions over linear ones, highlighting a gap of 40 units at $x=6$.