doubt 4

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

4 Answers

1
kIrTi kUmAr kAsAt ·

for x>2
f(x)=2x-4-x-1+x=2x-5
for -1<x<2
f(x)=-2x+4-x-1+x=-2x+3
for x <-1
f(x)=-2x+4+x+1+x=5

now i think the graph can be ploted with above details

19
Debotosh.. ·

simply apply symmetry methods for the first one: a rather easy question !!!

6
nix_13 12 ·

organic...........how???plz explain in detail.......

24
eureka123 ·

@nix
just apply diff intervals of modulus fn as done by kirti in post#2

like in 2nd ques

Case1
x<0
=>f(x)=x+(-x)=0

Case2
x≥0
=>F(x)=x+(x)=2x

u can draw the graph now

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