From the uploaded graph, we are analyzing the end behavior of the function $f(x)$ to match it with the correct statements.

Observations:

1. As $x \to \infty$ (moving right), the graph of $f(x)$ approaches $-\infty$.
2. As $x \to -\infty$ (moving left), the graph of $f(x)$ also approaches $\infty$.

Correct Statements:

• $\text{As } x \to \infty, f(x) \to -\infty$.
• $\text{As } x \to -\infty, f(x) \to \infty$.

These two options describe the end behavior accurately.

Would you like further clarification or details about how end behavior is determined?

Expanding Questions:

1. What are the steps to identify end behavior from a polynomial function's graph?
2. How does the degree of the polynomial affect the end behavior?
3. Can you determine the leading term of this function based on the end behavior?
4. What role do turning points play in understanding a graph like this?
5. How does symmetry influence the analysis of end behavior?

Tip:

The end behavior of a function is primarily governed by its leading term in the polynomial equation.