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Advanced Math / Nonlinear functions Difficulty: Easy
x y
0 0
1 1
2 8
3 27

The table shown includes some values of x and their corresponding values of y. Which of the following graphs in the xy-plane could represent the relationship between x and y ?

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Explanation

Choice B is correct. Each pair of values shown in the table gives the ordered pair of coordinates for a point that lies on the graph that represents the relationship between x and y in the xy-plane: the point with coordinates 0 comma 0, the point with coordinates 1 comma 1, the point with coordinates 2 comma 8, and the point with coordinates 3 comma 27. Only the graph in choice B passes through the points listed in the table that are visible in the given choices.

Choices A, C, and D are incorrect. None of these graphs passes through the point with coordinates 1 comma 1.