Question

# Graph f and g in the same rectangular coordinate system.

Transformations of functions
Graph f and g in the same rectangular coordinate system. Use transformations of the graph of f to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function's domain and range.
$$\displaystyle{f{{\left({x}\right)}}}={3}^{{{x}}}$$ and $$\displaystyle{g{{\left({x}\right)}}}=-{3}^{{{x}}}$$

The graph for $$\displaystyle-{3}^{{{x}}}$$ is a reflection about the x-axis of $$\displaystyle{3}^{{{x}}}$$.
The range for $$\displaystyle{3}^{{{x}}}$$ is all nonnegative numbers.
The range for $$\displaystyle{3}^{{-{x}}}$$ is all nonpositive numbers.
The horizontal asymptote for both functions is $$\displaystyle{y}={0}$$.