Given the piece-wise function
[tex]k(x)=\begin{cases}|x|,x\ge3 \\ \\ 2x^2-4x+3,x<3\end{cases}[/tex]
The graph of
[tex]|x|\text{ for x }\ge3[/tex]
Is shown below
The graph of
[tex]2x^2-4x+3\text{ for x < 3}[/tex]
Is shown below
The graph of the piece-wise function is shown below
The blue curve represents the quadratic function and the red line represent the absolute function
