A largest one–one subset
A largest one–one subset
4 marks
TGM Original
The function f(x)=(x-1)2 has domain D=-2,-1,0,1,3. State its range. Give a subset of D with the greatest possible number of elements on which f is one–one, and justify that this number is greatest.
Solution:
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Answer:Range \(\{0,1,4,9\}\); greatest size \(4\), for example domain \(\{-2,-1,0,1\}\).
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