1. **State the question:** You asked if the domain represents the $x$ values and the range represents the $y$ values for the function $f(x) = x^2 + 6x + 5$. 2. **Explanation:** Yes, exactly! In any function, the domain is the set of all possible input values, which are the $x$ values. 3. The range is the set of all possible output values, which are the $y$ values or $f(x)$ values. 4. So for the function $f(x) = x^2 + 6x + 5$, the domain is all real numbers (all $x$ values you can plug in), and the range is all $y$ values the function can output. 5. In this case, the range is $[-4, \infty)$ because the function's minimum value is $-4$ at $x = -3$. **Final answer:** - Domain corresponds to $x$ values. - Range corresponds to $y$ values (outputs of the function).