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Ay To the right is the graph of the greatest integer function, which is denoted by [x] and is defined as [X] = greatest integer sx. Answer a) through e) below about f(x) = [x]. %3D a) Is f continuous from the right at x= 1? O Yes O No b) Is f continuous from the left at x = 1? O No O Yes c) Is f continuous on the open interval (1,2)? O Yes O No

Ay To the right is the graph of the greatest integer function, which is denoted by [x] and is defined as [X] = greatest integer sx. Answer a) through e) below about f(x) = [x]. %3D a) Is f continuous from the right at x= 1? O Yes O No b) Is f continuous from the left at x = 1? O No O Yes c) Is f continuous on the open interval (1,2)? O Yes O No

Elements Of Modern Algebra
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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To the right is the graph of the greatest integer function, which is denoted by [x and is defined as [x] = greatest integer s x. Answer a) through e) below about f(x) = [x]. a) Is f continuous from the right at x= 1? Yes No b) Is f continuous from the left at x = 1? No Yes c) Is f continuous on the open interval (1,2)? Yes O No d) Is f continuous on the closed interval [1,2]? Yes O No e) is f continuous on the half-closed interval [1,2)? esc 80 000 O00 F1 F2 F3 F4 F5
Transcribed Image Text:To the right is the graph of the greatest integer function, which is denoted by [x and is defined as [x] = greatest integer s x. Answer a) through e) below about f(x) = [x]. a) Is f continuous from the right at x= 1? Yes No b) Is f continuous from the left at x = 1? No Yes c) Is f continuous on the open interval (1,2)? Yes O No d) Is f continuous on the closed interval [1,2]? Yes O No e) is f continuous on the half-closed interval [1,2)? esc 80 000 O00 F1 F2 F3 F4 F5
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?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost other parts in next question.

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I will use the definition

A function is continuous from right at aif right hand side limit exists at the point x=.

Similarly A function is continuous from left at a if left hand side limit exists at the point x=a

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