Piece-wise functions. Graph the following. f(x)= 1.)  6 if x <or equal to -6         2.)  lxl if -6<x<6         3.)  6 if x>6

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aruv | High School Teacher | (Level 2) Valedictorian

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`f(x)={(6 if x<=-6),(|x| if -6<x<6),(6 if x>6):}`

`f(x)={(6 if x<=-6),(-x if -6<x<=0),(x if 0<x<6),(6 if x>6):}`

`` Function f(x) is not defined for x=6.

aruv's profile pic

aruv | High School Teacher | (Level 2) Valedictorian

Posted on

`f(x)={(6 if x<=-6),(|x| if -6<x<6),(6 if x>6):}`

Function f(x) is  not defined at x=6.

`f(x)=|x| if -6<x<6`

`={(-x if -6<x<=0),(x if 0<x<6):}`

Thus in above graph, red line represent graph of the function `f(x)=6, x<=-6` orange line represent graph of function f(x)=|x|, and green line represent graph of the function `f(x)=6,x>6 .` Since f(x) is not defined for x=6 therefore orange line and green line will not intersect at x=6. Thus at x=6, put small circle or dot.

 

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