Question

Which of the following represents the graph of $e^{-x^2}$ :

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

$e^{-x^2}=\frac{1}{e^{x^2}}$
Since $x^2$ is an even function therefore $e^{-x^2}$ is also even function, hence it is symmetric about y - axis.
Also it is always positive.
and at $x=0,e^{-x^2}=1$
Hence (b) is not true. Thus only choice (d) is correct.