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The signum (or sign) function, denoted by sgn, is defined by if x < 0 0 if x = 0. 1 if x > 0 (a) Sketch the graph of this function. sgn x = O O -1 -4 -4 -2 -2 2 2 4 4 X X 2 + -2 2 4 y 2 4 X X

The signum (or sign) function, denoted by sgn, is defined by if x < 0 0 if x = 0. 1 if x > 0 (a) Sketch the graph of this function. sgn x = O O -1 -4 -4 -2 -2 2 2 4 4 X X 2 + -2 2 4 y 2 4 X X

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The signum (or sign) function, denoted by sgn, is defined by -1 if x < 0 0 if x = 0. 1 if x > 0 (a) Sketch the graph of this function. y sgn x = O -4 -4 -2 -2 4 2 -2 -4 y 4 2 -2 -4 2 2 4 4 X X y 4 2 + -4 -2 2 -2 -4 -4 -2 y 4 2 -2 -4 2 4 4 X X
Transcribed Image Text:The signum (or sign) function, denoted by sgn, is defined by -1 if x < 0 0 if x = 0. 1 if x > 0 (a) Sketch the graph of this function. y sgn x = O -4 -4 -2 -2 4 2 -2 -4 y 4 2 -2 -4 2 2 4 4 X X y 4 2 + -4 -2 2 -2 -4 -4 -2 y 4 2 -2 -4 2 4 4 X X
(b) Find each of the following limits. (If an answer does not exist, enter DNE.) (i) lim sgn x x →0+ (ii) lim sgn x x → 0- (iii) lim sgn x X→ 0 (iv) lim Isgn x| X→ 0
Transcribed Image Text:(b) Find each of the following limits. (If an answer does not exist, enter DNE.) (i) lim sgn x x →0+ (ii) lim sgn x x → 0- (iii) lim sgn x X→ 0 (iv) lim Isgn x| X→ 0
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