(11) The image of \( (0,1) \).

It seems like your question is incomplete or lacks context. The phrase "the image of \( (0,1) \)" could refer to various mathematical concepts depending on the context, such as: 1. **Function Mapping**: If you have a function \( f \), the image of the interval \( (0,1) \) under \( f \) would be the set of all values \( f(x) \) for \( x \) in \( (0,1) \). 2. **Set Theory**: In set theory, the image of a set under a function is the set of outputs corresponding to the inputs from that set. 3. **Topology**: In topology, the image of an open interval like \( (0,1) \) under a continuous function could be discussed in terms of its properties (e.g., whether it remains open, closed, etc.). 4. **Geometry**: If you are referring to a geometric transformation, the image of the point \( (0,1) \) could refer to its new coordinates after the transformation. Could you please provide more details or clarify your question?