The plot of the absolute value function is
Let's start first by getting the domain and range of the given absolute value function
[tex]f(x)=3|x|-3[/tex]
The function will have a corresponding value for any value of x. This means that the domain of the function is all real.
Using the plot as a basis to find the range of the function, the function shows vertex at (0,-3). This means that the function has a value starting from y = -3 up to positive infinity. Hence, the range of the function is
[tex]\text{range}=\lbrack-3,\infty)[/tex]
The vertex of the absolute value of the function is the encircled point in the figure below.
Base on the plot, the vertex exists at (0, -3).
