Answer
Domain: $\mathbb{R}$.
Range: $(0,\infty)$
Graph:
Work Step by Step
The graph of this function is obtained from $f_{1}(x)=e^{x}$,
by reflecting across the y-axis.
Graph, with a dashed line, the graph of $f_{1}(x)=e^{x}$,
as instructed in the solution of exercise 47$:$
. . . . . . .
... $f_{1}(x)=e^{x}$ ,
... The base is $e\approx 2.718 \gt 1$ so the graph rises on the whole domain.
... Asymptote is the x-axis.
... To the far left, the graph nears but does not cross the asymptote.
... The graph passes through the points
... $(-1,\ \displaystyle \frac{1}{e}), (0,1), (1,e), (2,e^{2})$, and so on.
... Plot these points and join with a smooth curve.
. . . . . . .
Then, reflect the points used for graphing $f_{1}$
across the y-axis,
and join with a smooth curve (red on the image).
Domain: $\mathbb{R}$.
Range: $(0,\infty)$
