query: Real Analysis Continuous Function Problem
positive_passages.docid: 22303
positive_passages.text: How do I prove that $f(x)f(y)=f(x+y)$ implies that $f(x)=e^{cx}$, assuming f is continuous and not zero?
negative_passages.docid: 14578
negative_passages.text: Proving that an additive function $f$ is continuous if it is continuous at a single point
negative_passages.docid: 60700
negative_passages.text: Continuity of a function to the integers
negative_passages.docid: 62048
negative_passages.text: Proving a Lipschitz function is continuous
negative_passages.docid: 12003
negative_passages.text: Cardinality of set of real continuous functions
negative_passages.docid: 154572
negative_passages.text: Continuity of a function at an isolated point
negative_passages.docid: 12349
negative_passages.text: a construction of a continuous function from a normal space to [0,1]
negative_passages.docid: 133646
negative_passages.text: real analysis -functional equation
negative_passages.docid: 2142
negative_passages.text: Finding a set of continuous functions with a certain property 2
negative_passages.docid: 117502
negative_passages.text: Proving that a certain continuous function is surjective.
negative_passages.docid: 126202
negative_passages.text: Analysis Question Involving Real Numbers
negative_passages.docid: 65346
negative_passages.text: Characterisation of uniformly continuous function
negative_passages.docid: 85092
negative_passages.text: Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
negative_passages.docid: 138329
negative_passages.text: Complex Analysis analytic function problem
negative_passages.docid: 113122
negative_passages.text: Prove that a continuous real function with finite limits is bounded
negative_passages.docid: 141938
negative_passages.text: Find all continuous functions from positive reals to positive reals such that $f(x)^2=f(x^2)$
negative_passages.docid: 24571
negative_passages.text: Folland's Real Analysis 7.11