Question

unit d functions test review
consider the data set shown on the graph
name an (input, output) pair on the graph that could be removed from the data set to have the graph represent a function

Explanation:

Step1: Recall the definition of a function

A function is a relation where each input (x - value) has exactly one output (y - value). So we need to find a point where the x - value is repeated (i.e., there are multiple y - values for the same x - value) and remove one of those points.

Step2: Analyze the graph (from the description)

Looking at the graph (even though we can't see it perfectly, the key is to find a repeated x - value). For example, if we assume that at x = 0, there are multiple points (since it's a common case in such problems), say one of the points at x = 0. Let's assume one of the (input, output) pairs at x = 0 is (0, 3) (this is a common example for such function - definition problems where we remove a duplicate x - value point). Removing this point would ensure that x = 0 has only one corresponding y - value.

Answer:

(0, 3) (Note: The answer may vary depending on the actual graph. Another possible answer could be any (x,y) pair where the x - value is repeated. For example, if there are two points at x = 2, say (2, 0) and (2, - 1), removing one of them like (2, - 1) would also work. The key is to identify a point with a repeated x - value and remove it.)