Let `f:RrarrR` be defined by `f(x)=|x|//x,xne0, f(0)=2`. What is the r – InterviewSolution

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1.	Let `f:RrarrR` be defined by `f(x)=\|x\|//x,xne0, f(0)=2`. What is the range of f?A. {1,2}B. {1,-1}C. {-1,1,2}D. {1}
Answer» Correct Answer - C Let `f:RrarrR` be defined as `f(x)=(\|x\|)/(x),xne0`. Also, f(0)=2 ie. Value of function at x=0 is 2. Consider, `f(x)={{:((x)/(x)=1ifxgt0),((-x)/(x)=-1ifxlt0):}` because we have `\|x\|={{:("x,",xge0),("-x,",xlt0):}` Thus, Range of f(x) = {1, -2}

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