Answer
Domain: $(-\infty, \infty)$
Range: $(0, \infty)$
Horizontal Asymptote: $y=0$
Work Step by Step
To graph the following exponential function we will first graph its base (the parent function) and apply a transformation.
As we know the graph of $f(x)=e^x$ is the black dotted graph in the image.
And we can get $f(x)=e^{x-2}$ by shifting the parent function to the right by $2$ units. So finally we will have the blue graph in the image.
As we have no restrictions domain of the function is $(-\infty, \infty)$.
It has range of $(0, \infty)$
And a horizontal asymptote of $y=0$
