# SOLUTION: Hi, can you please help, can you please help with this piecewise defined function . Piecewise defined function . f(x) = { x - 4, {{{ x <= 2 }}} } .........{ 2x + 3, {{{ 2 < x

Algebra ->  Algebra  -> Functions -> SOLUTION: Hi, can you please help, can you please help with this piecewise defined function . Piecewise defined function . f(x) = { x - 4, {{{ x <= 2 }}} } .........{ 2x + 3, {{{ 2 < x       Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Functions, Domain, NOT graphing Solvers Lessons Answers archive Quiz In Depth

 Question 157686: Hi, can you please help, can you please help with this piecewise defined function . Piecewise defined function . f(x) = { x - 4, } .........{ 2x + 3, } .........{ 36, } . I think the domain is ( , ) . I think the range is ( , ] U ( , ] U { } . Is this domain, and range right? Can you please confirm? Please use interval notation, just like what I used for the domain and range . Thanks ahead of time, Levi Answer by MathLover1(6622)   (Show Source): You can put this solution on YOUR website!f(x) = { x - 4, } .........{ 2x + 3, } .........{ 36, } f is defined using three formulas for linear function, so graph all three of them graph first this linear function: , for ...........since we have a restriction , erase the part the domain is ( ,) then graph this linear function: , for ...........since we have a restriction , erase the part from to and the part where this graph will be a line segment from to the domain is ( ,) then graph this linear function: , for this is constant function, so it is define for [) the domain is [)