Q. 28 - Precalculus Enhanced with Graphing Utilities

Question

Is the graph shown the graph of a function?  

Step-by-Step Solution

Answer

The given graph is 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. 

It can be seen that each vertical line intersects the graph at atmost one point.

So the given graph is the graph of a function.