query: If a function is not continuous then is it possible for bounded function in given range?
positive_passages.docid: 144773
positive_passages.text: function $f(x)=x^{-(1/3)}$ , please check whether my solution is correct?
negative_passages.docid: 33191
negative_passages.text: Continuous and bounded variation does not imply absolutely continuous
negative_passages.docid: 12523
negative_passages.text: Supremum of a Continuous Function is Continuous
negative_passages.docid: 111990
negative_passages.text: Continuous function from $(0, 1]$ onto $(0, 1)$?
negative_passages.docid: 9320
negative_passages.text: Extension of continuous function on a closed subset of $\mathbb{R}$
negative_passages.docid: 147247
negative_passages.text: Continuous function on closed unit ball
negative_passages.docid: 28413
negative_passages.text: Limit of a continuous function
negative_passages.docid: 76607
negative_passages.text: Show that exists a continuous function in $E$ that is not bounded
negative_passages.docid: 136011
negative_passages.text: Must $f$ be continuous?
negative_passages.docid: 12997
negative_passages.text: Is a Cauchy sequence - preserving (continuous) function is (uniformly) continuous?
negative_passages.docid: 13765
negative_passages.text: Is a rational-valued continuous function $f\colon[0,1]\to\mathbb{R}$ constant?
negative_passages.docid: 73585
negative_passages.text: Why is the function continuous, if it is defined only on integers?
negative_passages.docid: 17262
negative_passages.text: Bounded operator that does not attain its norm
negative_passages.docid: 154594
negative_passages.text: Without AC, it is consistent that there is a function with domain $\mathbb{R}$ whose range has cardinality strictly larger than that of $\mathbb{R}$?
negative_passages.docid: 126759
negative_passages.text: Unbounded continuous function on non-compact metric space
negative_passages.docid: 158567
negative_passages.text: A uniform continuous function which is not Hölder continuous
negative_passages.docid: 139763
negative_passages.text: A function takes every function value twice - proof it is not continuous