Determine if each equation is a function.
$x=-100$

• A. Function
• B. Not a function
• C. Cannot be determined

Answer: (B)

Verified step by step guidance

1. Understand the definition of a function: A function is a relation where each input (usually x) corresponds to exactly one output (usually y).
2. Look at the given equation: \(x = -100\). This means that for every point on the graph, the x-value is always -100.
3. Consider what this implies: Since x is fixed at -100, y can be any value. This means there are multiple outputs (y-values) for the same input x = -100.
4. Recall that for a relation to be a function, each input must have only one output. Here, the input x = -100 corresponds to many outputs, so it fails the definition of a function.
5. Therefore, conclude that the equation \(x = -100\) does not represent a function.