To analyze the data in the table, we can look at the pairs of \(x\) and \(y\):
- When \(x = 1\), \(y = 10\)
- When \(x = 2\), \(y = 100\)
- When \(x = 3\), \(y = 1000\)
- When \(x = 4\), \(y = 10000\)
Notice that as \(x\) increases by 1, \(y\) increases by a factor of 10 each time. This suggests an exponential relationship, since the pattern can be represented as:
\[ y = 10^x \]
Thus, the value of \(y\) grows exponentially with respect to \(x\).
Therefore, the type of function that best models the data is exponential.