Final answer:
The relation that is not a function is Option B: 3x + 2y = 4.
Step-by-step explanation:
A relation is considered a function if each input (x-value) maps to exactly one output (y-value). In other words, for each x-value, there should be no more than one y-value. If there is any x-value that maps to more than one y-value, then the relation is not a function.
Using this definition, we can analyze the given options:
- A. y = -10: This is a function since for each x-value, there is only one corresponding y-value (-10).
- B. 3x + 2y = 4: This is not a function since different x-values can have the same y-value. For example, if we choose x = 1, then y = 2, and if we choose x = -2, then y = 4.
- C. -2, 2, -6, -2, 6, 1, 9, 5, 13: This is a function since each x-value has a unique y-value.
- D. t = C: This is not a function since there can be multiple values of t for a single value of C.
Therefore, the relation that is not a function is
Option B: 3x + 2y = 4.