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Re define the function f(x)=|x-2|+|2+x|...

Re define the function `f(x)=|x-2|+|2+x|,-3lexle3`

Text Solution

Verified by Experts

Since, `|x-2|=-(x-2),xlt2`
`x-2,xge2`
and `|2+x|=-(2+x ),xlt2`
`(2+x),xle2`
`:. "f"(x)=|x-2|+|2+x|,x-3lexle3`
`{{:(-(x2)-(2+x),-3lexle3),((x-2)+2+x,-2lexle2),(x-2+2+x,2lexle3):}`
`{{:(-2x,-3lexlt-2),(4,-2lexlt2),(2,2lexle3):}`
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