Answer
The function can be represented by the rule $y=2x^3$
Work Step by Step
Notice that the y-coordinates of the terms, when divided by 2, equal the cube of the x values.
$(1,2): 2=2\times1^3$
$(2,16):16=2\times2^3$
$(3,54):54=2\times3^3$
$(4,128):128=2\times4^3$
$(5,250):250=2\times5^3$
Thus, the function can be represented by the rule $y=2x^3$.