Math Snap
PROBLEM
Determine the base function using easy methods for the exponential growth function:
STEP 1
1. The given function is an exponential growth function.
2. The base of the exponential function is the value inside the parentheses, which is raised to the power of the variable .
3. The function is in the form , where is the initial amount, is the base of the exponential function, and is a constant.
STEP 2
1. Identify the base of the exponential function.
2. Confirm the base represents growth.
STEP 3
Identify the base of the exponential function. In the given function:
The base is the number inside the parentheses, which is .
SOLUTION
Confirm that the base represents growth. For exponential growth, the base should be greater than 1.
In this case, the base is greater than 1, indicating that it is indeed a growth function.
The base function for the exponential growth is .