HOW TO DFETERMINE WHETHER THE GRAPH IS A FUNCTION

Example 1  :

Solution :

Drawing a vertical lines across the graph, we get

Each vertical lines are intersecting the graph at most once. So, the given graph represents the function.

Example 2 :

Solution :

Drawing a vertical lines across the graph, we get

Each vertical lines are intersecting the graph at most once. So, the given graph represents the function.

Example 3 :

Solution :

Drawing a vertical lines across the graph, we get

Each vertical line is intersecting the graph at more than one point. So, it is not a function.

Example 4 :

Solution :

Drawing a vertical lines across the graph, we get

Every vertical line is intersecting the graph at most once. So, the given graph represents the function.

Example 5 :

Solution :

Drawing a vertical lines across the graph, we get

Each vertical line is intersecting the graph at most once. So, the given graph represents the function.

Example 6 :

Use the vertical line test to determine whether the following graph represents a function.

Solution :

Drawing a vertical lines across the graph, we get

In the above graph, the vertical line intersects the graph in more than one point (three points), then the given graph does not represent a function. 

Example 7 :

Solution :

Drawing a vertical lines across the graph, we get

In the above graph, the vertical line intersects the graph in more than one point (two points), then the given graph does not represent a function. 

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