question given the function below, fill in the table of values, use the table of values to graph the…

Explanation:

Step1: Recall domain definition

The domain of an exponential - type function $y = - 3^{x}$ is all real numbers since we can substitute any real number for $x$ into the function. Mathematically, the set of all real numbers is denoted as $(-\infty,\infty)$.

Step2: Analyze the behavior of the function for range

As $x\to-\infty$, $3^{x}\to0$, so $y=-3^{x}\to0$ (but $y$ never actually reaches $0$). As $x\to\infty$, $3^{x}\to\infty$, so $y = - 3^{x}\to-\infty$. The function $y=-3^{x}$ takes on all negative real - values. So the range is $(-\infty,0)$.

Answer:

Domain: $(-\infty,\infty)$ Range: $(-\infty,0)$