look at this graph:\nis this relation a function?\nyes\nno

Explanation:

Step1: Recall function definition

A relation is a function if each input (x - value) has exactly one output (y - value). So we check each x - coordinate of the points.

Step2: Identify x - values

Let's list the x - coordinates of the points. Looking at the graph, the x - values (from left to right) seem to be: - 3, - 2, - 2, - 1, 1, 1. Wait, no, let's check the positions. Wait, actually, when we look at the grid, let's find the x - coordinates. Let's assume each grid square is 1 unit. Let's list the points:

First, the lower left points: Let's say the x - coordinate for the two points (the two lower left ones) – wait, no, let's check the x - values. Wait, a function requires that for each x, there is only one y. So if any x - value is repeated with different y - values, it's not a function.

Looking at the points: Let's find their x - coordinates. Let's see, the points:

• Let's take the x - coordinate of the points. Let's list the x and y:

Point 1: x=-2, y = - 1 (lower left, first of the two)

Point 2: x=-2, y=-2 (lower left, second)

Ah! Here, x = - 2 has two different y - values (-1 and - 2). So by the definition of a function (each x has exactly one y), this relation is not a function.

Answer:

no