is this relation a function? yes no

is this relation a function? yes no

is this relation a function? yes no

Answer

Explanation:

Step1: Recall the definition of a function

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

Step2: Analyze the x - coordinates of the points

Let's identify the coordinates of the points from the graph. Let's assume the points are:

  • Let the left - most point have coordinates ((- 3,1)) (x=-3, y = 1)
  • The upper - right point: Let's say ((1,2)) (x = 1, y=2)
  • The lower - middle point: ((0,-2)) (x = 0, y=-2)

Now, check the x - values. The x - values are (-3), (1), and (0). Each x - value is unique, which means each input (x - value) is paired with only one output (y - value).

Answer:

yes