The question asks you to determine the degree and the sign of the leading coefficient of the polynomial based on its graph.

• The end behavior of the graph shows that the left side rises and the right side falls. This type of end behavior is characteristic of a polynomial with a negative leading coefficient and an odd degree.
  • Odd degree polynomials typically have opposite end behaviors on both sides.
  • Negative leading coefficient causes the right side to fall and the left side to rise.

Thus, the correct answer is:

• Leading Coefficient: Negative
• Degree: Odd

Would you like more details on polynomial graph behavior or have any other questions? Here are some related questions to explore further:

1. What does the degree of a polynomial tell us about its graph?
2. How does the sign of the leading coefficient affect the end behavior of a graph?
3. What are some examples of polynomials with odd degrees?
4. Can a polynomial have multiple turning points and still be odd-degree?
5. How does the number of real zeros relate to the degree of a polynomial?

Tip: Always examine the far-left and far-right behaviors of a polynomial to quickly identify the sign of the leading coefficient and whether the degree is even or odd.