Determine Functionality: Evaluating the Table from X = -2 to X = 14

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

• Step 1: Identify the given pairs of $(X, Y)$.
• Step 2: Verify that each $X$ maps to exactly one $Y$.
• Step 3: Conclude whether the table represents a function.

Now, let's work through each step:
Step 1: The pairs given are: $(-2, 1)$, $(2, 6)$, $(6, 11)$, $(10, 16)$, $(14, 21)$.

Step 2: For each input value $X$, we check its corresponding output $Y$:

• $X = -2$ maps to $Y = 1$
• $X = 2$ maps to $Y = 6$
• $X = 6$ maps to $Y = 11$
• $X = 10$ maps to $Y = 16$
• $X = 14$ maps to $Y = 21$

None of the values of $X$ is associated with more than one different $Y$ value.

Step 3: Since each $X$ value has exactly one corresponding $Y$ value, the table represents a function.

Yes