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What is the range of the function

F(x) =| x-1|

          (x-1)

Asked by ajayc4177 1st February 2018, 12:01 PM
Answered by Expert
Answer:
begin mathsize 16px style straight f left parenthesis straight x right parenthesis equals fraction numerator open vertical bar straight x minus 1 close vertical bar over denominator straight x minus 1 end fraction
function space is space not space defined space at space straight x equals 1.
Domain space is space straight R minus left curly bracket 1 right curly bracket
For space straight x greater than 1 space rightwards double arrow straight f left parenthesis straight x right parenthesis equals fraction numerator straight x minus 1 over denominator straight x minus 1 end fraction equals 1
For space straight x less than 1 space rightwards double arrow straight f left parenthesis straight x right parenthesis equals fraction numerator negative open parentheses straight x minus 1 close parentheses over denominator straight x minus 1 end fraction equals negative 1
Range space is space left curly bracket negative 1 comma space 1 right curly bracket end style
Answered by Expert 1st February 2018, 2:36 PM
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