Q22. - Algebra 2

Question

Determine whether each relation is a function. Write yes or no.

Step-by-Step Solution

Answer

No, the given relation is not a function.

Step 1 – Vertical line test.

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

The graph does not represent a function if some vertical line intersects the graph in 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 – Check whether the relation is a function or not.

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. So, it does not represents a function.

 

Thus, the required answer is no because the given relation is not a function.