The graph appears to be of an exponential function. To determine the end behavior of the graph, we look at how the graph behaves as $x \to -\infty$ (left) and $x \to +\infty$ (right).

End Behavior Analysis:

• As $x \to -\infty$, the graph approaches the x-axis (y = 0), indicating that $y \to 0$.
• As $x \to +\infty$, the graph increases rapidly, indicating that $y \to +\infty$.

Correct Answer:

The correct choice describing this behavior is:

• $x \to -\infty, y \to 0$ and $x \to +\infty, y \to +\infty$.

Would you like more details or have any questions?

Related Questions:

1. What are the characteristics of exponential functions that influence end behavior?
2. How can you identify the end behavior of a polynomial graph?
3. What are the key differences in end behavior between linear and exponential functions?
4. How does the base of an exponential function affect its graph?
5. How can transformations like shifts and reflections alter the end behavior of a function?

Tip: Always analyze the graph as $x \to -\infty$ and $x \to +\infty$ separately to determine the end behavior accurately.