Questions: The graph below does not represent a function. The vertical line is not part of the graph, but may be used to answer the question below. List the minimum number of point(s) that you would need to remove to make the graph a function. For example: (1,2),(3,4).

The graph below does not represent a function. The vertical line is not part of the graph, but may be used to answer the question below.

List the minimum number of point(s) that you would need to remove to make the graph a function. For example: (1,2),(3,4).

Transcript text: The graph below does not represent a function. The vertical line is not part of the graph, but may be used to answer the question below. List the minimum number of point(s) that you would need to remove to make the graph a function. For example: $(1,2),(3,4)$.

Solution

Solution Steps

Step 1: Identify Points with the Same x-Coordinate

To determine which points to remove, we need to identify points that share the same x-coordinate. A function can only have one y-value for each x-value.

Step 2: List Points with Duplicate x-Coordinates

From the graph, we observe the following points with the same x-coordinates:

x = -10: Points (-10, -10) and (-10, 10)
x = 0: Points (0, 10) and (0, 0)
x = 10: Points (10, 10) and (10, 20)

Step 3: Determine Minimum Points to Remove

To make the graph a function, we need to remove one point from each pair of points with the same x-coordinate. The minimum number of points to remove is: