HW6 Answer in CourseHero.pdf - MAT 243 Online Written...

This preview shows page 1 - 3 out of 6 pages.

© 2017 R. Boerner, ASU School of Mathematical and Statistical Sciences. This solution is licensed to ASU students registered for MAT 243 classes for free personal use. It is not to be uploaded to third-party websites, especially not ones that sell such unlicensed content. If you found this document on a third-party website such as Course Hero or Chegg, the document is being served to you in violation of copyright law. MAT 243 Online Written Homework Assignments for Week 6/15 1. Are the two functions ? and ? defined by ?: {0,1} → {0,1}; ?(?) = ? 2 ?: {0,1} → {0,1}; ?(?) = ? equal or not equal? Explain. ? and ? are equal. Their domain and codomain are equal and ?(?) = ?(?) for ALL ? in the common domain, since ?(0) = ?(0) = 0 and ?(1) = ?(1) = 1. 2. Is the function ?: [0,1] → [1,5]; ?(?) = 4? + 1 bijective? Prove or disprove. Proof: . 3. Is the function ?: [−1,1] → [0,1]; ?(?) = ? 2 bijective? Prove or disprove. 2 . 4. Prove or disprove: the floor function is additive, i.e. whenever ? and . 5. Find all real solutions ? of the equation ⌊2? − 1⌋ = 5 . Show your work. Give your solution set as an interval. This study resource was shared via CourseHero.com
© 2017 R. Boerner, ASU School of Mathematical and Statistical Sciences. This solution is licensed to ASU students registered for MAT 243 classes for free personal use. It is not to be uploaded to third-party websites, especially not ones that sell such unlicensed content. If you found this document on a third-party website such as Course Hero or Chegg, the document is being served to you in violation of copyright law. .

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture