Domain Function M 1A9E12

1. **Problem Statement:** We are given a function $m(x)$ and asked to find its domain. 2. **Understanding the Domain:** The domain of a function is the set of all possible input values ($x$ values) for which the function is defined. 3. **Given Information:** The graph is described as a polynomial-style curve with both ends rising, crossing the x-axis near $x = -2$ and $x = 6$, and having a minimum near $(4, -8)$. 4. **Key Fact About Polynomial Functions:** Polynomial functions are defined for all real numbers. There are no restrictions such as division by zero or square roots of negative numbers. 5. **Conclusion:** Since $m(x)$ behaves like a polynomial, its domain is all real numbers. 6. **Final Answer:** $$\text{Domain of } m = (-\infty, \infty)$$