1. **State the problem:** Determine the end behavior of the function graphed, which is an exponential curve passing near the origin. 2. **Recall the end behavior of exponential functions:** For a function of the form $f(x) = a^x$ where $a > 1$, as $x \to -\infty$, $f(x) \to 0$, and as $x \to \infty$, $f(x) \to \infty$. 3. **Analyze the graph description:** The graph shows the curve approaching zero as $x \to -\infty$ and increasing without bound as $x \to \infty$. 4. **Match with the options:** This matches option A: - As $x \to -\infty$, $f(x) \to 0$ - As $x \to \infty$, $f(x) \to \infty$ **Final answer:** A