$\"\"$

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The functions are

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F : $\"\"$

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G : $\"\"$

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H : $\"\"$ and

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J : $\"\"$ .

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Check the functions at $\"\"$ .

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$\"\"$

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Check the function F: $\"\"$ at $\"\"$ .

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Substitute $\"\"$ , in the equation $\"\"$ .

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$\"\"$ .

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The point of the function $\"\"$ in the graph is $\"\"$ .

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Observe the graph, the point $\"\"$ does not lies on the graph, so it is not a valid function.

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$\"\"$

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Check the function G : $\"\"$ at $\"\"$ .

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Substitute $\"\"$ , in the equation $\"\"$ .

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$\"\"$

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The point of the function $\"\"$ in the graph is $\"\"$ .

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Observe the graph, the point $\"\"$ is on the graph, so it is a valid function.

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$\"\"$

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Check the function H : $\"\"$ at $\"\"$ .

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Substitute $\"\"$ , in the equation $\"\"$ .

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$\"\"$

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The point of the function $\"\"$ in the graph is $\"\"$ .

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Observe the graph, the point $\"\"$ does not lies on the graph, so it is not a valid function.

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$\"\"$

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Check the function J : $\"\"$ at $\"\"$ .

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Substitute $\"\"$ , in the equation $\"\"$ .

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$\"\"$ .

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The point of the function $\"\"$ in the graph is $\"\"$ .

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Observe the graph, the point $\"\"$ does not lies on the graph, so it is not a valid function.

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Observe the points of different functions in the graph, the correct choice is G : $\"\"$ .

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$\"\"$

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The correct choice is G: $\"\"$ .