Determine the Correct Table: Y as a Function of X Less Than X for 3

The problem requires us to identify a table corresponding to the function described by $Y = X - 3$. We will calculate $Y$ for each $X$ provided in the choices.

Applying the formula, for choice 1 where $X = 0, 1, 2$:

• If $X = 0$, then $Y = 0 - 3 = -3$.
• If $X = 1$, then $Y = 1 - 3 = -2$.
• If $X = 2$, then $Y = 2 - 3 = -1$.

For choice 2 where $X = 2, 4, 6$:

• If $X = 2$, then $Y = 2 - 3 = -1$.
• If $X = 4$, then $Y = 4 - 3 = 1$.
• If $X = 6$, then $Y = 6 - 3 = 3$.

For choice 3 where $X = 2, 5, 8$:

• If $X = 2$, then $Y = 2 - 3 = -1$.
• If $X = 5$, then $Y = 5 - 3 = 2$.
• If $X = 8$, then $Y = 8 - 3 = 5$.

For choice 4 where $X = -8, -6, -4$:

• If $X = -8$, then $Y = -8 - 3 = -11$.
• If $X = -6$, then $Y = -6 - 3 = -9$.
• If $X = -4$, then $Y = -4 - 3 = -7$.

Choosing from these computations, the first table matches the description $Y = X - 3$, where for $X = 0, 1, 2$ gives $Y = -3, -2, -1$ respectively.

Therefore, the table corresponding to the function description is choice 1.