2. Either prove the assertion or show that the assertion is not valid by giving a counterexample. A pictorial counterexample is sufficient. (a) If f increases on [a, b] and increases on [b, c], then f increases on [a, c). (b) If f increases on [a, b] and increases on (b, c), then f increases on [a, c).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 19E
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2. Either prove the assertion or show that the assertion is not valid by giving a
counterexample. A pictorial counterexample is sufficient.
(a)
If f increases on a, b and increases on b, c, then f increases on
[a, c].
(b)
If f increases on [a, b and increases on (b, c), then f increases on
[a, c].
Transcribed Image Text:2. Either prove the assertion or show that the assertion is not valid by giving a counterexample. A pictorial counterexample is sufficient. (a) If f increases on a, b and increases on b, c, then f increases on [a, c]. (b) If f increases on [a, b and increases on (b, c), then f increases on [a, c].
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