Question

The function $f(x ) = xe^{1-x}$ is

• A. strictly increases in the interval $\left(\frac{1}{2} , 2\right)$
• B. increases in the interval $\left(0, \infty\right)$
• C. decreases in the interval $\left(0, 2\right)$
• D. strictly decreases in the interval $\left(1, \infty\right)$

Answer 1

Answer: (D)

strictly decreases in the interval $\left(1, \infty\right)$

Answer 2

Since, $f\left(x\right) = xe^{1-x}$