Final answer:
The question lacks the specific context required to determine if there are any values of k that would cause a relation to not be a function. A function is defined as a relation with exactly one output for each input. Without additional information, it's not possible to provide a definitive answer.
Step-by-step explanation:
When determining For what value(s) of k will the relation not be a function, it is essential to understand the definition of a function in mathematics. A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Looking at the provided references, none seems directly relevant to the concept of a function in mathematical terms. The first is about probability, the second is about an impossible event in a probability context, the third refers to geometrical properties of the universe, and the fourth is about the relationship between two variables Q and K. Since the question does not provide a specific relation or context where the value of k might impact whether a relation is a function or not, we cannot accurately deduce if there are values of k for which a relation would not be a function based strictly on the information provided. Therefore, if a relation meets the definition of a function for all values of k, the answer would be D. No value of k. However, without a clear context or specific relation, a definitive answer cannot be given.