Final answer:
The set of points (-4, 8), (-3, 1), (0, 5), (-3, 2) is not a function because the input value -3 is paired with two different outputs, which violates the definition of a function.
Step-by-step explanation:
Is the set of points (-4, 8), (-3, 1), (0, 5), (-3, 2) a function? The given set of points (-4, 8), (-3, 1), (0, 5), and (-3, 2) represents a relation, but it is not a function. A relation is a set of ordered pairs, and a function is a special type of relation where each input has only one output.
For a set of points to define a function, each input value (or x-coordinate) must correspond to exactly one output value (or y-coordinate). Looking at the given points, we can see that the input value -3 is associated with two different output values (1 and 2). This violates the definition of a function.
Therefore, the correct answer is: B) No, because a function cannot have the same input (x-coordinate) mapped to multiple outputs (y-coordinates).