1. **Problem Statement:** Determine if the given graph could represent a polynomial function. If yes, list the real zeros and state the least degree the polynomial can have. 2. **Understanding Polynomial Graphs:** Polynomial functions are continuous and smooth curves with no breaks or sharp corners. The degree of the polynomial is at least the number of real zeros (roots) plus the number of turning points. 3. **Given Graph Analysis:** The graph shows two real zeros at approximately $x=1$ and $x=3$. 4. **Number of Real Zeros:** The real zeros are $1$ and $3$. 5. **Turning Points:** The graph has one local maximum between the two zeros, indicating one turning point. 6. **Degree Estimation:** The least degree of a polynomial is at least one more than the number of turning points. Here, there is 1 turning point, so the least degree is $1 + 1 = 2$. 7. **Checking End Behavior:** The graph extends from bottom-left upward and top-right downward, which is consistent with an odd degree polynomial (degree 3, for example). 8. **Conclusion:** Since the graph has 2 real zeros and 1 turning point, the least degree polynomial that fits is degree 3. **Final answer:** - Real zeros: $1, 3$ - Least degree: $3$