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Let R+ = {x € R|x>0} be the set of positive real numbers. Let A = [a,b), a,beRb +00, be an (right half-open) interval of R. Find the range f(A). (a) (b) Determine the infimum inf(f(A)), if exists.

Let R+ = {x € R|x>0} be the set of positive real numbers. Let A = [a,b), a,beRb +00, be an (right half-open) interval of R. Find the range f(A). (a) (b) Determine the infimum inf(f(A)), if exists.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.2: Linear Functions And Applications
Problem 33PS
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Let R₁ = {x € Rx>0} be the set of positive real numbers. Let a,beRb +00, A = [a,b), be an (right half-open) interval of R. (a) Find the range f(A). (b) Determine the infimum inf(f(A)), if exists.
Transcribed Image Text:Let R₁ = {x € Rx>0} be the set of positive real numbers. Let a,beRb +00, A = [a,b), be an (right half-open) interval of R. (a) Find the range f(A). (b) Determine the infimum inf(f(A)), if exists.
Let the function f: RR be defined by 1 x2, f(x) = { x=0, x = 0.
Transcribed Image Text:Let the function f: RR be defined by 1 x2, f(x) = { x=0, x = 0.
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