The function (e^{-\frac{1}{2}x^2}) is: | Economics | SolveeIt | Solveeit

Today, August 24

Question

The function $e^{-\frac{1}{2}x^2}$ is:

A

convex for |x|<1 and concave for |x|>1

B

concave for |x|<1 and convex for |x|>1

C

convex everywhere

D

concave everywhere

Answer

concave for |x|<1 and convex for |x|>1

Explanation

Solution

The correct option is(B): concave for |x|<1 and convex for |x|>1