To analyze the question:

The graph provided in the image appears to show a polynomial function with its behavior extending on both sides of the $x$-axis. We need to determine the end behavior of the graph by observing how the function behaves as $x \to -\infty$ and $x \to +\infty$.

Observations:

1. As $x \to -\infty$, the graph of $f(x)$ seems to rise upwards, indicating $f(x) \to +\infty$.
2. As $x \to +\infty$, the graph of $f(x)$ also rises upwards, indicating $f(x) \to +\infty$.

Correct Answer:

The end behavior matches the following statement: $f(x) \to +\infty \text{ as } x \to -\infty \quad \text{and} \quad f(x) \to +\infty \text{ as } x \to +\infty.$ Thus, the correct option is: $f(x) \to +\infty \text{ as } x \to -\infty$ and $f(x) \to +\infty \text{ as } x \to +\infty$.

Would you like further details or explanation? Here are some additional topics to explore:

1. How can you identify the degree and leading coefficient of a polynomial from a graph?
2. What causes graphs to have differing end behaviors?
3. How do you determine whether a graph opens upwards or downwards?
4. What are the characteristics of even-degree polynomial functions?
5. How does symmetry affect the end behavior of polynomial graphs?

Tip: Always check the direction of the graph at extreme $x$-values to identify end behavior.