Multiple Choice Question (MCQ)

If f(x)=\dfrac{1}{x} , and 0< x<1 , what is the range of f(x)?

  1. ×

    All real numbers

  2. ×

    All real numbers between 0 and 1

  3. ×

    All real numbers greater than 0

  4. All real numbers greater than 1

  5. ×

    All real numbers greater than or equal to 1

Collected in the board: Function

Steven Zheng posted 2 months ago


Answer

  1. As the function f(x)=1/x is a monotone decreasing function in the domain of (0,1) ,

    and

    f(1) = 1

    Therefore,

    When 0< x <1 ,

    f(x) >1

Steven Zheng posted 2 months ago

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