Q2. - Algebra 2

Question

Copy the graph at the right. Then draw a vertical line that shows that the graph does not represent a function.

Step-by-Step Solution

Answer

The required graph is shown below:

Step 1 – Vertical line test.

The graph represents a function if no vertical line intersects the graph on more than one point.

The graph does not represent a function if some vertical line intersects the graph on two or more points.

Step 2 – Draw a vertical line on the graph.

Draw a vertical line on the given graph as shown below:

Step 3 – Show that the graph does not represent a function.

In the above graph, the red vertical line intersects the graph on three points.

Since the vertical line intersects the graph on more than one point, therefore the graph does not pass the vertical line test.

 

Thus, the graph does not represent a function.