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 that 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 the value of \(x\) is always \(-100\), regardless of \(y\).
3. Since \(x\) is fixed and does not depend on \(y\), this equation describes a vertical line in the coordinate plane.
4. A vertical line fails the vertical line test for functions because for a single \(x\) value, there can be multiple \(y\) values.
5. Therefore, this equation does not represent \(y\) as a function of \(x\), so it is not a function.