Question

for each relation, decide whether or not it is a function.
part 1 of 2
relation 1

Explanation:

Step1: Recall the definition of a function

A relation is a function if every input (x - value) has exactly one output (y - value). In other words, no two ordered pairs in the relation can have the same x - coordinate with different y - coordinates.

Step2: Analyze the x - values of the points in Relation 1

We need to check the x - coordinates of each of the plotted points. Let's assume the coordinates of the points (by looking at the graph, we can estimate the x - values):

• Let's list the x - coordinates of the blue dots. From the graph, it seems that each x - value is unique (no two points have the same x - coordinate). For example, if we consider the x - coordinates of the points, each x is different, so for each x (input), there is only one y (output).

Answer:

Yes, Relation 1 is a function.