VERTICAL LINE TEST FOR FUNCTIONS WORKSHEET

Use the vertical line test to determine whether the following graphs represent functions.

Problem 1 :

Problem 2 :

Problem 3 :

Problem 4 :

Problem 5 :

Problem 6 :

Answers

1. Answer :

Step 1 :

Draw a vertical line at any where on the given graph. 

Step 2 : 

We have to check whether the vertical line drawn on the graph intersects the graph in at most one point.

Step 3 : 

In the above graph, the vertical line intersects the graph in at most one point, then the given graph represents a function. 

2. Answer :

Step 1 : 

Draw a vertical line at any where on the given graph. 

Step 2 :

We have to check whether the vertical line drawn on the graph intersects the graph in at most one point.

Step 3 :

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.

3. Answer :

Step 1 : 

Draw a vertical line at any where on the given graph. 

Step 2 :

We have to check whether the vertical line drawn on the graph intersects the graph in at most one point.

Step 3 :

In the above graph, the vertical line intersects the graph in at most one point, then the given graph represents a function. 

4. Answer :

Step 1 : 

Draw a vertical line at any where on the given graph. 

Step 2 :

We have to check whether the vertical line drawn on the graph intersects the graph in at most one point.

Step 3 :

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.

5. Answer :

Step 1 : 

Draw a vertical line at any where on the given graph. 

Step 2 :

We have to check whether the vertical line drawn on the graph intersects the graph in at most one point.

Step 3 :

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.

6. Answer :

Step 1 : 

Draw a vertical line at any where on the given graph. 

Step 2 :

We have to check whether the vertical line drawn on the graph intersects the graph in at most one point.

Step 3 :

In the above graph, the vertical line intersects the graph in at most one point, then the given graph represents a function.

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