Use the table that doubles each step and has \(y(0)~=~3\) to write \(y\) as a function of \(x\).

Test how the outputs change when the input increases by one. A stable ratio points to repeated multiplication, while the output at input zero supplies the front coefficient because any nonzero base to the zero power is one. Build the equation from those two features, then verify it against every row rather than only the first pair.