Answer:
This function represents an exponential growth where the initial value is 2 and the growth factor is 3. The function will increase rapidly as x increases due to the exponential growth with a factor of 3.
Step-by-step explanation:
Given that the initial value of an exponential function is 2 and the growth factor is 3, the exponential function can be represented as:
\[ f(x) = a \times r^x \]
Where:
- \( a = \) initial value = 2
- \( r = \) growth factor = 3
Therefore, the exponential function is:
\[ f(x) = 2 \times 3^x \]
