The graph in the image represents a polynomial function. The end behavior of a polynomial is determined by its degree and the sign of its leading coefficient. Here's how to analyze it:

1. Degree: The graph shows that both ends of the polynomial go upwards, indicating that the degree is even. An even-degree polynomial tends to behave like $x^2$, where both ends either point upward or downward.

2. Leading Coefficient: Since both ends of the graph rise as $x \to \pm \infty$, this indicates that the leading coefficient is positive. A positive leading coefficient makes the graph rise to infinity on both sides if the degree is even.

Thus, the correct identification is:

• Leading Coefficient: Positive
• Degree: Even

The correct option from the choices is:

• Leading Coefficient Positive, Degree Even

Do you want further details or have any questions?

Here are 5 related questions:

1. What is the general form of a polynomial with an even degree and a positive leading coefficient?
2. How does the degree of a polynomial affect the number of turning points?
3. Can a polynomial with a negative leading coefficient and even degree open upwards?
4. What is the difference in end behavior between even and odd degree polynomials?
5. How does the leading coefficient affect the steepness of the graph?

Tip: Remember, the degree of a polynomial also gives an upper bound on the number of turning points (local maxima and minima).