Functions - Domain & Range

Algebra Level 2

\[f(x) = \ln(x - \lfloor x \rfloor)\]

If the domain of \(f(x)\) is the set \(A\) and the range of \(f(x)\) is the set \(B\), how many integers in the range \([-10, 0]\) are not elements of \(A \cap B\)?

Details and Assumptions

  1. \(\lfloor x \rfloor\) denotes the greatest integer function
  2. \(\ln x\) is the natural logarithm

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