Is there a function f: R² → R that is not continuous but f(U) is open in R for all open sets UC R²?
Is there a function f: R² → R that is not continuous but f(U) is open in R for all open sets UC R²?
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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![3. Is there a function f: R² → R that is not continuous but
f(U) is open in R
for all open sets UC R²?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2e948f6-fd6f-485f-942e-c931230f8579%2Fe4eafa37-646e-4b42-a280-5eca9d1e8eb3%2Fcx1066_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Is there a function f: R² → R that is not continuous but
f(U) is open in R
for all open sets UC R²?
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