Final answer:
To find f(-2), substitute -2 into the function f(x) = -2e^x and evaluate the expression. The answer is approximately -0.27.
Step-by-step explanation:
To find f(-2), we can substitute -2 into the function f(x) = -2e^x and evaluate it.
f(-2) = -2e^(-2)
Using a scientific calculator, we can find that e^(-2) is approximately 0.13534 (rounded to five decimal places).
f(-2) = -2(0.13534) = -0.27068
Rounded to the nearest hundredth, the answer is approximately -0.27.