VERTICAL LINE TEST FOR FUNCTIONS WORKSHEET

Problem 1 :

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

Problem 2 :

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

Detailed Answer Key

Problem 1 :

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

Solution :

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.

Problem 2 :

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

Solution :

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.

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