Determine the domain and range of the function:
f(x)=-2(3)^{x}+2

Step 1 ：The function given is \(f(x)=-2(3)^{x}+2\).

Step 2 ：The domain of a function is the set of all possible input values which will produce a valid output. Since the function is an exponential function, there are no restrictions on the input values. Therefore, the domain of the function is all real numbers.

Step 3 ：The range of a function is the set of all possible output values. This function is a transformation of the basic exponential function \(f(x) = a^x\), where \(a > 1\). The graph of \(f(x) = a^x\) always passes through the point \((0, 1)\) and increases as \(x\) increases if \(a > 1\).

Step 4 ：The function \(f(x) = -2(3)^x + 2\) is a reflection of \(f(x) = 3^x\) in the x-axis, followed by a vertical shift of 2 units upwards. Therefore, the range of the function is all real numbers less than or equal to 2.

Step 5 ：Final Answer: The domain of the function is all real numbers, and the range of the function is all real numbers less than or equal to 2. Therefore, the domain is \(\boxed{\text{All real numbers}}\) and the range is \(\boxed{y \leq 2}\).