graph the logarithmic function $g(x)=-log_{3}x$. to do this, plot two points on the graph of the function…

graph the logarithmic function $g(x)=-log_{3}x$. to do this, plot two points on the graph of the function, and also draw the asymptote. then, click on the graph - a - function button. additionally, give the domain and range of the function using interval notation.

graph the logarithmic function $g(x)=-log_{3}x$. to do this, plot two points on the graph of the function, and also draw the asymptote. then, click on the graph - a - function button. additionally, give the domain and range of the function using interval notation.

Answer

Explanation:

Step1: Find two points

When $x = 1$, $g(1)=-\log_3{1}=0$. When $x = 3$, $g(3)=-\log_3{3}=- 1$.

Step2: Determine asymptote

The vertical asymptote of $y =-\log_3{x}$ is $x = 0$.

Step3: Find domain and range

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

Answer:

Two points: $(1,0),(3, - 1)$; Asymptote: $x = 0$; Domain: $(0,\infty)$; Range: $(-\infty,\infty)$