Answer:
The graph in the attached figure
Step-by-step explanation:
we have that
[tex]f(x)=x-4[/tex] ------> For [tex]x < 2[/tex]
[tex]f(x)=-2x+2[/tex] ------> For [tex]x\geq2[/tex]
To graph this piece wise- defined function
In the interval (-∞,2) ----> graph the line [tex]f(x)=x-4[/tex]
In the interval [2,∞) ----> graph the line [tex]f(x)=-2x+2[/tex]
The function is continue -----> the domain is all real numbers
using a graphing tool
see the attached figure
