The given function has the following points: (0,0), (1,1), (2,8), (3,27), (4,64). To find the rule that represents this function, we need to observe the pattern in the given points. We notice that the y-values are obtained by raising the x-values to the power of 3. Therefore, the rule that represents this function is y = x³.
The rule that represents the function for the given points is y = x³. This is determined by observing that the y-values correspond to the x-values raised to the power of 3. Thus, for any x-value, the output is obtained by cubing that x-value.
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