Q. 27 - Precalculus Enhanced with Graphing Utilities

Question

Is the graph shown the graph of a function? 

Step-by-Step Solution

Answer

The given graph is not the graph of a function.

Step 1. Concept Used

The vertical line test states that a set of points in the plane is the graph of a function if and only if every vertical line intersects the graph in at most one point. 

Step 2. Identify whether the graph is a function or not

Draw a vertical line to the graph of the function.

So it can be seen that a vertical line intersects the graph at more than one point. So the graph is not the graph of a function.