sketch the graph of f(x)=|x-1|+|x-2| - Maths - Relations and Functions

Question

sketch the graph of f(x)=|x-1|+|x-2|

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

fx=x-1 + x-2x-1=0 ⇒ x=1x-2=0 ⇒ x=2Now ,When x≤1Then,fx=- x-1 + - x-2 =-x+1-x+2=-2x+3When 1≤x≤2fx=x-1 + - x-2 =x-1-x+2=1When x≥2fx=x-1 + x-2 =x-1+x-2=2x-3Now , plot these equations of line to obtain graph

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