The given function is
[tex]f(x)=3x-6[/tex]The domain is all the values of x that make the function defined
Since all real numbers make f(x) defined, then
The domain is all real numbers
[tex]D=(-\infty,\infty)[/tex]The range is all values of y corresponding to the domain
The range also is all real numbers
[tex]R=(-\infty,\infty)[/tex]To find the zeroes equate f(x) by 0
[tex]\begin{gathered} f(x)=0 \\ \\ 3x-6=0 \end{gathered}[/tex]Add 6 to both sides
[tex]\begin{gathered} 3x-6+6=0+6 \\ \\ 3x=6 \end{gathered}[/tex]Divide both sides by 3
[tex]\begin{gathered} \frac{3x}{3}=\frac{6}{3} \\ \\ x=2 \end{gathered}[/tex]The zero of the function is (2, 0)
To draw the graph we will use 2 points
(2, 0) x-intercept
(0,-6) y-intercept
The red line is the graph of the given function
