Exponential Function End Behavior

As $x \to \infty$, $3*e^{x}$ diverges to infinity and as $x \to -\infty$, it approaches 0.

As $x \to -\infty$, $3*e^{x}$ diverges, and as $x \to \infty$, it approaches 3.

As $x \to \infty$ and $x \to -\infty$, $3*e^{x}$ both approach 0.

The function tends toward 3 for large values of |x| because the constant dominates the exponential term.