Let a ER and set fa: R→R: xx+1|-2|2x|+ a. S(a)= {r ER: fa(x)=0}. (So, S(a) is a set). P= {a € R: S(a)=0}. Qa= {xER: fa(x) >0}. (a) Give S(-4) and S(9). (b) Give P and Q2. (c) Give min(Q2), max(Q2), inf(Q2), and sup(Q2), if they exist.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 51E
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Let a ER and set
fa: RR: 2x+1|-2|2x|+ a.
S(a)= {x ER: fa(x)=0}. (So, S(a) is a set).
P= {a e R: S(a)=0}.
Qa= {x ER: fa(x) >0}.
(a) Give S(-4) and S(9).
(b) Give P and Q2.
(c) Give min(Q2), max(22), inf(22), and sup(22), if they exist.
Transcribed Image Text:Let a ER and set fa: RR: 2x+1|-2|2x|+ a. S(a)= {x ER: fa(x)=0}. (So, S(a) is a set). P= {a e R: S(a)=0}. Qa= {x ER: fa(x) >0}. (a) Give S(-4) and S(9). (b) Give P and Q2. (c) Give min(Q2), max(22), inf(22), and sup(22), if they exist.
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