The graph for \(\displaystyle-{3}^{{{x}}}\) is a reflection about the x-axis of \(\displaystyle{3}^{{{x}}}\).

The domain is all real numbers.

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 \(\displaystyle{y}={0}\).