Function Table Analysis: Matching X Minus 5 Relationships

Video Solution

Solution Steps

00:00 Choose the appropriate table

00:03 Function equation according to the given data

00:08 Substitute values in X and find the corresponding Y values according to the given data

00:13 Each time we'll solve accordingly and fill in our table

00:27 And this is the solution to the question

Step-by-Step Solution

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.