In the given picture there is a graph and we have to find out is that graph is one to one or not.
It is a one to one graph.
In the graph there is line.
To know is the line is one to one or not we have to check 1st that the line is a function or not.
To check the line is function or not we have to do by vertical line test.
Graphically, the vertical line test is a way to determine if a line is a function or not.
To perform the vertical line test, we pass the vertical lines arrows the graph and if it does not intersect the graph more then one point it passes the vertical line then it can say as a function.
In the given figure1 we can see the vertical lines does not touch the line in the graph more then one point so it is a function.
Now, we know the line is a function so now we have to check if the line is one to one or not.
To check the line is one to one or not we have to do by horizontal line test.
Graphically, the horizontal line test is a way to determine if a line is a one to one or not.
To perform the horizontal line test, we pass the horizontal lines arrows the graph and if it does not intersect the graph more then one point it passes the horizontal line then it can say as a one to one function.
In the given figure2 we can see the horizontal lines does not touch the line in the graph more then one point so it is a one to one function.
Therefore, The graph is a one to one function.
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