Does this table represent an exponential growth function X = -1, 0, 1, 2 Y = 1/16, 1/4, 1 ,4 if it does what is the exponential equation of the form y = a(b)^x

No, the table does not represent an exponential growth function of the form y = a(b)^x. In an exponential growth function, as x increases, the value of y should increase at an increasing rate. However, in this table, as x increases from -1 to 0 to 1 to 2, the values of y do not follow a pattern of exponential growth.