Which of the following functions is/are bounded?A. `f(x)=(2x)/(1+x^(2) – InterviewSolution

1.	Which of the following functions is/are bounded?A. `f(x)=(2x)/(1+x^(2)),[-2,2]`B. `f(x)=(x^(2))/(1-x),x in [0,2]-[1]`C. `f(x)=(x^(3)-8x+6)/(4x+1),[0,5]`D. none of these
Answer» Correct Answer - A::C `f(x)=(2x)/(1+x^(2)),[-2,2]" has range "[-1,1]," hence bounded."` `f(x)=(x^(2))/(1-x),x in [0,2]-{1}" is unbounded as"f(x)rarroo," when "xrarr1^(-)` `f(x)=(x^(3)-8x+6)/(4x+1),[0,5]" is bounded because domain does not contain"-1//4.`

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