Question 157686: Hi, can you please help, can you please help with this piecewise defined function
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Piecewise defined function
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f(x) = { x - 4,  }
.........{ 2x + 3,  }
.........{ 36,  }
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I think the domain is (  , )
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I think the range is ( ,  ] U (  ,  ] U {  }
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Is this domain, and range right? Can you please confirm? Please use interval notation, just like what I used for the domain and range
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Thanks ahead of time, Levi
Answer by MathLover1(20850)   (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 [)
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