Which statement best explains whether the table represents a linear or nonlinear function? Input (x) Output (y)

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Which statement best explains whether the table represents a linear or nonlinear function?

Input
(x) Output
(y)
0 1
1 2
2 4
3 16
It is a linear function because there is a constant rate of change in both the input and output values.
It is a nonlinear function because there is a constant rate of change is both the input and output values.
It is a linear function because the output values are increasing at different rates.
It is a nonlinear function because the output values are increasing at different rates.