Question
Sun March 15, 2015 By: Ravi Consul

Q:What is absolute value function?

Expert Reply
Prasenjit Paul
Mon March 16, 2015
 
A b s o l u t e space v a l u e space f u n c t i o n s space a r e space a l s o space k n o w n space a s space s t e p minus f u n c t i o n. space I t space i s space d e n o t e d space b y space y equals vertical line x vertical line comma space x space epsilon space R. T h e space f u n c t i o n space w i l l space a l w a y s space g i v e space t h e space a b s o l u t e space v a l u e comma space m e a n i n g space vertical line minus 6 vertical line space equals space 6 comma space w e space h a v e space t o space t a k e space t h e space p o s i t i v e space v a l u e i n space c a s e space o f space a space c o n s tan t. space H o w e v e r comma space i f space a space v a r i a b l e space i s space i n s i d e space t h e space a b s o l u t e space v a l u e space s u c h space a s space y equals vertical line x minus 2 vertical line comma space t h e n space i t space c a n space b e space w r i t t e n space a s comma y space equals space open curly brackets table attributes columnalign left columnspacing 1.4ex end attributes row cell x minus 2 comma end cell cell x greater or equal than 2 end cell row cell negative x plus 2 comma end cell cell x less than 2 end cell end table close
 
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