query: Can such a function be continuous?
positive_passages.docid: 234
positive_passages.text: No continuous function switches $\mathbb{Q}$ and the irrationals
negative_passages.docid: 12523
negative_passages.text: Supremum of a Continuous Function is Continuous
negative_passages.docid: 86327
negative_passages.text: If the absolute value of a function is continuous, is the function continuous?
negative_passages.docid: 120947
negative_passages.text: continuous real-valued function
negative_passages.docid: 93270
negative_passages.text: is that function must be constant under the following conditions
negative_passages.docid: 68165
negative_passages.text: Find a function $f: \mathbb{R} \to \mathbb{R}$ that is continuous at precisely one point?
negative_passages.docid: 4679
negative_passages.text: Nonpiecewise Function Defined at a Point but Not Continuous There
negative_passages.docid: 66560
negative_passages.text: Is a differentiable function always continuous?
negative_passages.docid: 28413
negative_passages.text: Limit of a continuous function
negative_passages.docid: 111990
negative_passages.text: Continuous function from $(0, 1]$ onto $(0, 1)$?
negative_passages.docid: 34344
negative_passages.text: Is a function that maps every compact set to a compact set continuous?
negative_passages.docid: 94109
negative_passages.text: $f$ a real, continuous function, is it measurable?
negative_passages.docid: 79301
negative_passages.text: Could a constant function be considered increasing?
negative_passages.docid: 133696
negative_passages.text: Example of a function continuous at only one point.
negative_passages.docid: 53812
negative_passages.text: Metric is continuous function
negative_passages.docid: 2142
negative_passages.text: Finding a set of continuous functions with a certain property 2
negative_passages.docid: 12240
negative_passages.text: Problem with a continuous function