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:

Answer

Expert–verified

Hide Steps

Answer

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

Steps

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 $\boxed{0.27}$.