Explain how to graph the given piecewise-defined function. Be sure to specify the type of endpoint each piece of the function will have and why. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative x + 3, 2nd column x less-than 2 2nd row 1st column 3, 2nd column 2 less-than-or-equal-to x less-than 4 3rd Row 1st column 4 minus 2 x, 2nd column x greater-than-or-equal-to 4 EndLayout

Refer the solution for better understanding.Step-by-step explanation:Given :[tex]\left\{\begin{matrix} -x+3 & , & x<2 \\ 3 & , & 2\leq x<4\\ 4-2x & , & x\geq 4\end{matrix}\right.[/tex]Solution :The Graph of f(x) = -x + 3 is draw for x less than 2 because x is bounded.The Graph of f(x) = 3 is draw for x greater than and equal to 2 and less than 4 because x is bounded.The Graph of f(x) = 4 - 2x is draw for x greater than equal to 4 because x is bounded.See the attached Graph for more clearity.f(x) = -x + 3 is represented by purple.f(x) = 3 is represented by orange.f(x) = 4 - 2x is reperesented by green.For more information, refer the link given below