Graphs That Represent Not A Function. Select all of the following graphs which represent y as a function of a 3 2 1 3 a 3 3 2 34 3 2 3 4 ta 5 32 tt. If the line intercepts the graph only once it is a function.
If the vertical line touches the graph at more than one point then the graph is not a function. No because the vertical line test shows there are repeating input values. If any vertical line intersects the graph more than once then the graph does not represent a function.
If a vertical line is moved across the graph and at any time touches the graph at only one point then the graph is a function.
If the vertical line intersects the graph in more than one point then the given graph does not represent a function. This set of ordered pairs is a function. The graph would look like this. This occurs everywhere except at the vertex of the graph.
