1. **State the problem:** Find the range of the function $y = 3x + 2$ for the domain values $x = 4$ and $x = -4$. 2. **Formula and explanation:** The function is linear, so the range for given domain values is the set of function values at those points. 3. **Calculate $y$ at $x=4$:** $$y = 3(4) + 2 = 12 + 2 = 14$$ 4. **Calculate $y$ at $x=-4$:** $$y = 3(-4) + 2 = -12 + 2 = -10$$ 5. **Range:** The range values corresponding to the domain $4$ and $-4$ are $14$ and $-10$ respectively. **Final answer:** The range is $14$ and $-10$.