Answer:
The domain: all real numbers;
The range: [tex]y\ge -3.[/tex]
Step-by-step explanation:
The graph of the function y=|x| opens up and has a vertex at (0,0). If the graph of an absolute value function opens up and has a vertex of (0, -3), then the function has an expression
y=|x|-3 (see attached diagram).
The domain of the parent function y=|x| is the set of all real numbers, then the domain of the function y=|x|-3 is the set of all real numbers too.
The range of the parent function y=|x| is [tex]y\ge 0,[/tex] then the range of the function y=|x|-3 is [tex]y\ge -3.[/tex]
