Determine whether the following table represents an exponential function. Explain why or why not.
X: 0,1,2,3
Y: 6,9,27,33
This table does not represent an exponential function.
An exponential function has a constant ratio between consecutive input values (X) and their corresponding output values (Y). However, in this table, the ratio between (X=0, Y=6) and (X=1, Y=9) is not the same as the ratio between (X=1, Y=9) and (X=2, Y=27), indicating a non-constant rate of change. Therefore, the function does not have exponential behavior.