Question

Sketch or computer plot a graph of the function $\mathit{y}\mathbf{=}{\mathit{e}}^{\mathbf{-}{\mathbf{x}}^{\mathbf{2}}}$ .

Short answer

The graph shown is the graph of the function.

Step-by-step solution

Given Information

The value of the function is$y=e^{-x^2}$ .

Definition of graph

The graph is a pictorial representation of the function.

plot the graph

The value of the function is $y=e^{-x^2}$ .

For $\left(x,y\right)=\left(0,1\right)$

For $x\to \pm \infty ,y=0$

From the coordinates mentioned above plot the graph.

The graph is shown below:

Which is the required graph.