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
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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(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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