To analyze the provided graph:

1. End Behavior: The graph appears to fall towards $-\infty$ on both ends (as $x \to \infty$ and $x \to -\infty$). This indicates the degree of the polynomial is even, with a negative leading coefficient.

2. Degree Type: Based on the number of turning points (local extrema), the degree of the polynomial should be at least 4 (since there are 3 turning points visible).

3. Real Zeros: From the graph, the curve crosses the $x$-axis at two points, indicating there are exactly 2 real zeros.

Completing the Blanks:

• Degree of the polynomial: 4
• Number of real zeros: 2
• End behavior as $x \to -\infty$: $f(x) \to -\infty$
• End behavior as $x \to \infty$: $f(x) \to -\infty$

Would you like a more detailed explanation or further clarification?

Here are some related questions to deepen your understanding:

1. What defines the degree of a polynomial based on its graph?
2. How can we determine the leading coefficient's sign from a graph?
3. Why does the number of turning points relate to the degree of the polynomial?
4. Can a polynomial with real coefficients have more real zeros than its degree?
5. How do multiplicity of zeros affect the behavior of a graph at the $x$-axis?

Tip: Always count the turning points and $x$-intercepts separately to estimate the degree and real zeros of the polynomial!