6. Let f(x) = x² when r is rational and f(x): = 0 when z is irrational. Discuss the continuity and differentiability of f.
6. Let f(x) = x² when r is rational and f(x): = 0 when z is irrational. Discuss the continuity and differentiability of f.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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![6. Let f(x) = x² when r is rational and f(x): = 0 when z is irrational.
Discuss the continuity and differentiability of f.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F490cbcd2-ad81-426b-824f-903aced284ba%2F141fdaf2-7d07-4c14-828b-991ce015a14b%2F6i1at8_processed.png&w=3840&q=75)
Transcribed Image Text:6. Let f(x) = x² when r is rational and f(x): = 0 when z is irrational.
Discuss the continuity and differentiability of f.
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