To determine the type of function that best models the data from the table, we can observe the relationship between the values of \( x \) and \( y \).
The table represents the following pairs:
- \( (1, 10) \)
- \( (2, 100) \)
- \( (3, 1000) \)
- \( (4, 10000) \)
Looking at the patterns in the \( y \) values:
- When \( x = 1 \), \( y = 10 = 10^1 \)
- When \( x = 2 \), \( y = 100 = 10^2 \)
- When \( x = 3 \), \( y = 1000 = 10^3 \)
- When \( x = 4 \), \( y = 10000 = 10^4 \)
From this, it is evident that as \( x \) increases by 1, \( y \) is multiplied by 10, which indicates an exponential growth pattern.
Thus, the best type of function that models the data in the table is:
Exponential.