Function Table Analysis: Matching X Minus 5 Relationships

To solve this problem, we'll examine each table choice using the provided function $Y = X - 5$.

Let's break down each table:

• Table 1: $\begin{aligned} &X = -1 \Rightarrow Y = -1 - 5 = -6 \\ &X = 0 \Rightarrow Y = 0 - 5 = -5 \\ &X = 1 \Rightarrow Y = 1 - 5 = -4 \end{aligned}$. All calculated values match the table.

• Table 2: $\begin{aligned} &X = 3 \Rightarrow Y = 3 - 5 = -2 \\ &X = 4 \Rightarrow Y = 4 - 5 = -1 \\ &X = 5 \Rightarrow Y = 5 - 5 = 0 \end{aligned}$. The last $Y$ value does not match.

• Table 3: $\begin{aligned} &X = 0 \Rightarrow Y = 0 - 5 = -5 \\ &X = 3 \Rightarrow Y = 3 - 5 = -2 \\ &X = 6 \Rightarrow Y = 6 - 5 = 1 \end{aligned}$. The last $Y$ value does not match.

• Table 4: $\begin{aligned} &X = 2 \Rightarrow Y = 2 - 5 = -3 \\ &X = 4 \Rightarrow Y = 4 - 5 = -1 \\ &X = 5 \Rightarrow Y = 5 - 5 = 0 \end{aligned}$. None match based on description.

Only Table 1 accurately reflects the function $Y = X - 5$ for the given $X$ values of -1, 0, and 1.

Therefore, the correct table is Choice 1.