Let's begin with understanding what a function is in the context of mathematics. A function is a relation in which each input (x-value) is associated with exactly one output (y-value).
To determine if the given set of ordered pairs represents a function, we need to check if each x-value corresponds to exactly one y-value.
Given set of ordered pairs: \{(-2, 2), (-1, 2), (3, -1), (3, 1), (4, 11)\}
Let's examine each of the x-values in the set:
1. For x = -2, the corresponding y-value is 2.
2. For x = -1, the corresponding y-value is 2.
3. For x = 3, the corresponding y-value is -1.
4. For x = 3, the corresponding y-value is 1.
5. For x = 4, the corresponding y-value is 11.
We observe that the x-value 3 corresponds to two different y-values (-1 and 1). This violates the definition of a function, which requires each x-value to correspond to exactly one y-value.
Therefore, the correct answer is:
A. No, because one x-value corresponds to two different y-values.
