TS ICET 24 May 2018 Shift 1 Paper

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Question : 114 of 200

Marks: +1, -0

If f(y) =

{|\y|/\y}

for y ≠ 0 and q is any non-zero real number, then the value of |f(q) - f(-q)| =

-1
0
1
2

Solution:

Given

f(y)={|y|}/y

q >0 f ( q )=1 ; f (- q )=-1

q <0 f ( q )=-1 ; f (- q )=1

q >0 ;| f ( q )- f (- q )|=|1-(-1)|=2

q <0| f ( q )- f (- q )|=|-1-1|=2

∴ | f ( q )- f (- q )|=2 ∀ q ≠ 0

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