Question

Split the Function into piece wise defined one

f(x) = |x+1| + |x-3| + | | x+5| |

Answer 1

@shubhamsrg @experimentX

Answer 2

http://www.wolframalpha.com/input/?i=plot+%7Cx%2B1%7C+%2B+%7Cx-3%7C+%2B+%7Cx%2B5%7C

Answer 3

@mukushla @joemath314159

Answer 4

Consider\[x<-5\]\[-5<x<-1\]\[-1<x<3\]\[x>3\]

Answer 5

what to do with that double modulus ?

Answer 6

nothing to do with that

for example for \(x<-5\)\[f(x) = |x+1| + |x-3| + | | x+5| | = |x+1| + |x-3| + | x+5| \]\[f(x)=-(x+1)-(x-3)-(x+5)=-3x-3\]

Answer 7

i've never seen something like that :D