Which graph shows a set of ordered pairs that represnt a function
![Which graph shows a set of ordered pairs that represnt a function class=](https://us-static.z-dn.net/files/d2a/2b32c8bcc4caaa661588b4b3eac561c5.jpg)
![Which graph shows a set of ordered pairs that represnt a function class=](https://us-static.z-dn.net/files/d06/103064a49a52c64e81df7428bb2879f6.jpg)
![Which graph shows a set of ordered pairs that represnt a function class=](https://us-static.z-dn.net/files/d6d/22f60f3572de8d3add88bee033a7ee65.jpg)
![Which graph shows a set of ordered pairs that represnt a function class=](https://us-static.z-dn.net/files/dff/962fb609e2af2f3fa6a2b22d0814aeb5.jpg)
Answer: The correct option is 2.
Explanation:
If the graph satisfies the vertical line test then it a graph of a function.
According to the vertical line test the graph of the function intersects all vertical line at most once. If a graph intersects any vertical line more that one time then it is nt the graph of a function.
Reason correct option:
Only the graph 2 passes the vertical line test therefore the correct option is 2.
Reason for incorrect option:
In figure 1 the graph intersects the vertical lines x=-2 and x=0 two times, therefore the graph does not pass the vertical line test.
In figure 3 the graph intersects the vertical line x=4 two times, therefore the graph does not pass the vertical line test.
In figure 4 the graph intersects the vertical line x=2 two times, therefore the graph does not pass the vertical line test.
Therefore the option 1,3 and 4 are incorrect.