Question

If f(x) = -2e^x, find f(-2). Round your answer to the nearest hundredth.

A. -1.35
B. -0.14
C. -0.27
D. -0.74

Answer 1

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.