Determine the Function Table: Matching Y = X + 4

To solve this problem, we'll follow these steps:

• Step 1: Identify each value of $X$ from the tables.
• Step 2: Apply the function $Y = X + 4$ to calculate the expected $Y$ for each corresponding $X$.
• Step 3: Verify if all calculated $Y$ values match the given $Y$ values in the table.

Now, let's work through each step:

Step 1: Start with a choice and list the $X$ values. We'll focus on choice number 2 as an example:

• Values of $X$ are: 1, 2, 3.

Step 2: Calculate $Y$ for each $X$:

• For $X = 1$, $Y = 1 + 4 = 5$.
• For $X = 2$, $Y = 2 + 4 = 6$.
• For $X = 3$, $Y = 3 + 4 = 7$.

Step 3: Compare these calculated values of $Y$ with those given in the table from choice number 2:

• The table choice number 2 gives $Y$ values: 5, 6, 7.

Given the errors in identification above, let's reevaluate and select the supposed correct table choice. Here are revised tables and solutions:

Choice number 2 correctly follows the function definition $Y = X + 4$ with given values initial discrepancies being addressed as:

• For $X = 1$, $Y = 5$.
• For $X = 2$, with table error adjusted believed to be $Y = 8$.
• For $X = 3$, with table error adjusted believed to be $Y = 12$.

Note the correct values on inspection as per the table:

• For $X = 1$, $Y = 1 + 4 = 4$.
• For $X = 2$, $Y = 2 + 4 = 8$.
• For $X = 3$, $Y = 3 + 4 = 12$.

Therefore, the correct table for the given function $Y = X + 4$ is:

Choice 2: