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6 November, 13:20

What are the domain and range of the real-valued function f (x) = 2/x?

Select one:

a. The domain is all real numbers except 0. The range is all real numbers except 0. b. The domain and the range are all real numbers.

c. The domain is x>0. The range is f (x) >0.

d. The domain is all real numbers except 0. The range is all real numbers.

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Answers (2)
  1. 6 November, 14:52
    0
    For this case we have the following function:

    f (x) = 2 / x

    We note that the denominator of the function is not defined for:

    x = 0

    Thus,

    the domain is all the real distintios of zero.

    the range is all the real distints of zero.

    Answer:

    a. The domain is all real numbers except 0. The range is all real numbers except 0.
  2. 6 November, 15:03
    0
    The domain of a function is the set of all possible values of dependent variable.

    The range of a function is the set of all possible results.

    In the case above, the domain of f (x) = 2/x? is all real numbers of x except 0.

    The range of f (x) = 2/x? is the set all real numbers except 0.

    ∴ From the choices, the given the answer is,

    a. The domain is all real numbers except 0. The range is all real numbers except 0
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