The given exponential function is \( y = 2 \cdot 3^x \).
In this form, the standard structure of an exponential function is \( y = a \cdot b^x \), where:
- \( a \) is the initial value (or \( y \)-intercept when \( x = 0 \)).
- \( b \) is the base, which represents the growth factor.
In your function:
- \( a = 2 \)
- \( b = 3 \)
The growth rate can be interpreted as the base of the exponent in the function:
Thus, the growth rate of the function \( y = 2 \cdot 3^x \) is \( 3 \).
So, the correct answer from the options provided is 3.