Answered: Let f(x) := x² for x∊R, and let E :=…

Let f(x) := x² for x∊R, and let E := {x∊R : -1≤x≤0} and F := {x∊R : 0≤x≤1}. Find the sets E\F and f(E)\f(f) and show that it is not true that f(E\F)⊆f(E)\f(F).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 23E

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Question

Let f(x) := x² for x∊R, and let E := {x∊R : -1≤x≤0} and F := {x∊R : 0≤x≤1}. Find the sets E\F and f(E)\f(f) and show that it is not true that f(E\F)⊆f(E)\f(F).

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