Determine Which Table Corresponds with the Given Graph

Given the following graph, determine which table corresponds to the following table

To solve this problem, observe that the graph represents a horizontal line at some constant $y$-value.

We need to identify which table reflects this characteristic, meaning the $y$-values must all be the same for listed $x$-values. Let's evaluate the choices:

• Choice 1: $y$-values are 2, 3, 4 for $x = -1, 0, 1$. This is not constant.
• Choice 2: $y$-values are 4, 4, 4 for $x = -1, 0, 1$. This represents a constant function where $y$ is always 4.
• Choice 3: $y$-values are 5, 8, 11 for $x = -1, 0, 1$. This is not constant.
• Choice 4: $y$-values are 3, 8, 13 for $x = -1, 0, 1$. This is not constant.

The choice that matches the graph, depicting a horizontal line at a consistent $y$-value, is Choice 2. Therefore, the table corresponding to the graph is: