A problem by crazy singh

Level pending

if $f\left( x \right) =\frac { \left| x \right| }{ x } ,\quad x\neq 0$

then

$\left| f\left( \alpha \right) -f\left( -\alpha \right) \right| =?\quad ;\quad \alpha \neq 0$

0 -1 2 1

2 solutions

Finn Hulse
Mar 3, 2014

It is obvious that for any positive number, the function produces 1, and for any negative, the function produces -1. There are 2 scenarios. The variable is positive, which would be $1+1$ , or the variable is negative, $-1-1$ . Because positive 2 is the only answer choice that fits, it is correct.

it will be 0

Hamza Tariq - 7 years, 3 months ago

Rajeev Giri
Mar 3, 2014

f(a)=1 and f(-a)=-1 hence f(a) - f(-a) = 1- (-1) = 2

A problem by crazy singh

2 solutions

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