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For the function F (x) = 1/x, whose graph is shown below, what is the relative value of F (x) when the value of x is close to zero?

A - Either a very large positive or very large negative number

B. A very small positive number

C. Only a very large positive number

D. Only a very large negative number

E. Either a very small positive or very small negative number

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  1. 7 May, 18:22
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    For this case we have the following function:

    F (x) = 1 / x

    We observe that the function is not defined when the denominator is equal to zero, or equivalently:

    x = 0

    The function tends to infinity when x takes positive values close to zero.

    The function tends to minus infinity when x takes negative values close to zero.

    Answer:

    A - Either a very large positive or very large negative number
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