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For the following exercises, determine the least possible degree of the polynomial function shown.

The graph provided appears to show a parabola opening downwards. Based on the shape of the curve and its symmetry, we can determine the least possible degree of the polynomial.

Here’s how to analyze the graph:

- The curve intersects the x-axis at two points, suggesting it has two real roots.
- The shape is a downward-opening parabola, which indicates that it is a quadratic function.

Quadratic functions have the general form \( f(x) = ax^2 + bx + c \), where the highest exponent of \( x \) is 2. Thus, the least possible degree of the polynomial is 2.

Would you like a more detailed explanation of how the degree relates to the graph, or do you have any other questions? 

Here are 5 related questions you might find interesting:
1. How can we determine the number of roots based on the graph of a polynomial?
2. What does the leading coefficient (positive or negative) tell us about the graph of a polynomial?
3. How does the degree of a polynomial affect the number of turning points on the graph?
4. How can we find the exact equation of a quadratic function based on its graph?
5. What are some common characteristics of polynomials of higher degrees?

**Tip:** The degree of a polynomial helps you determine how many times the graph can intersect the x-axis and how it behaves at extreme values.

Learn how to determine the least possible degree of a polynomial function based on its graph. This exercise focuses on quadratic functions, real roots, and polynomial behavior. Ideal for students in Grades 9-11.

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