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Question

Find the range of
f(x)=|x1|+|x2|,1x3

A
Range [1,5]
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B
Range [2,5]
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C
Range [1,4]
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D
Range [0,5]
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Solution

The correct option is A Range [1,5]
f(x)=|x1|+|x2|,1x3

case 1. 1x1

f(x)=1x+2x=32x Range =[1,5]

case 2. 1<x2

f(x)=x1+2x=1 Range ={1}

case 3. 2<x3

f(x)=x1+x2=2x3 Range =[1,3]

Hence overall range of the function is, [1,5]

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