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If f(x)=|x| +x, then what is the range of f(x)?

Option: 1

[0,\infty)


Option: 2

R


Option: 3

{0}


Option: 4

(-\infty,0]


Answers (1)

best_answer

Case 1:  If  x \geq 0; f(x)= x+x=2x

In this case, x ≥ 0

Multiplying both sides by 2, 2x ≥ 0

 

Case 2: If x< 0; f(x)= -x+x=0

Hence range = [0,\infty)

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Gunjita

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