CHECK THE GRAPH REPRESENTS ONE TO ONE FUNCTION

The horizontal line test checks if a function is one-to-one. A one-to-one function has only one x-value for each y-value.

Difference between horizontal line test and vertical line test :

The vertical line test is used to check if the graph is representing function or not.

The horizontal line test is used to check if the graph is representing it is one to function or not.

Determine whether each of the following graphs represents a one-to-one-function. Explain your answer.

Problem 1 :

Solution:

In the above graph horizontal line intersects at three points.

So, it is not a one to one function.

Problem 2 :

Solution:

In the above graph horizontal line intersects at two points.

So, it is not a one to one function.

Problem 3 :

Solution:

In the above graph horizontal line intersects at one point.

So, it is a one to one function.

Problem 4 :

Solution:

In the above graph horizontal line intersects at one point.

So, it is a one to one function.

Problem 5 :

Solution:

In the above graph horizontal line intersects at one point.

So, it is a one to one function.

Problem 6 :

Solution:

In the above graph horizontal line intersects at two points.

So, it is not a one to one function.

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