Answer:
The function provided is f(x) = 2^(2(1/2)x).
Step-by-step explanation:
To identify the type of function represented by this equation, we need to analyze its characteristics.
1. The function f(x) involves an exponentiation operation where the base is 2. This indicates an exponential function.
2. The exponent term in the function, which is 2(1/2)x, can be simplified as 2^(x). This form further confirms that the function is exponential.
3. The function has a constant base (2) raised to a variable exponent (x), which is a key feature of exponential functions.
Therefore, the type of function represented by the given equation is an exponential function with a base of 2.
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