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 :
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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