1. The problem asks us to find which number is in the domain of the function $y = 3x - 2$ given that the range includes the values 1, 7, 13, 16, and 19. 2. Recall that the domain of a function is the set of all possible input values $x$, and the range is the set of all possible output values $y$. 3. Since $y = 3x - 2$, for each $y$ in the range, we can find the corresponding $x$ by solving for $x$: $$x = \frac{y + 2}{3}$$ 4. Check each $y$ value in the range to find the corresponding $x$: - For $y = 1$: $x = \frac{1 + 2}{3} = \frac{3}{3} = 1$ - For $y = 7$: $x = \frac{7 + 2}{3} = \frac{9}{3} = 3$ - For $y = 13$: $x = \frac{13 + 2}{3} = \frac{15}{3} = 5$ - For $y = 16$: $x = \frac{16 + 2}{3} = \frac{18}{3} = 6$ - For $y = 19$: $x = \frac{19 + 2}{3} = \frac{21}{3} = 7$ 5. The domain values corresponding to the given range values are $1, 3, 5, 6,$ and $7$. 6. From the multiple-choice options (2, 4, 6, 8), the only number that appears in the domain is $6$. **Final answer:** C 6