Question If $f(x)=-2 e^{x}$, find $f(-2)$ Round your answer to the nearest hundredth, and if necessary, include a leading 0 with any decimals less than 1 . For example, $\mathbf{0 . 5}$ instead of .5 . Provide your answer below:

Step 1 ：Given the function \(f(x) = -2 e^{x}\), we are asked to find the value of \(f(-2)\).

Step 2 ：Substitute \(x = -2\) into the function: \(f(-2) = -2 e^{-2}\).

Step 3 ：Calculate the value of \(f(-2)\) to get approximately -0.2706705664732254.

Step 4 ：Round the result to the nearest hundredth to get 0.27.

Step 5 ：Final Answer: The value of \(f(-2)\) is \(\boxed{0.27}\).