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Which graph shows a set of ordered pairs that represnt a function

Which graph shows a set of ordered pairs that represnt a function-example-1
Which graph shows a set of ordered pairs that represnt a function-example-1
Which graph shows a set of ordered pairs that represnt a function-example-2
Which graph shows a set of ordered pairs that represnt a function-example-3
Which graph shows a set of ordered pairs that represnt a function-example-4
User SeanA
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1 Answer

6 votes

Answer: The correct option is 2.

Step-by-step 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.

Which graph shows a set of ordered pairs that represnt a function-example-1
Which graph shows a set of ordered pairs that represnt a function-example-2
Which graph shows a set of ordered pairs that represnt a function-example-3
Which graph shows a set of ordered pairs that represnt a function-example-4
User Yovana
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8.4k points