Q21. - Algebra 2

Question

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

Step-by-Step Solution

Answer

Yes, the given relation is 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 at only one point.

Since no vertical line intersects the graph on more than one point, therefore the graph passes the vertical line test and it represents a function.

 

Thus, the required answer is yes because the given relation is a function.