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college algebra

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graph the function using transformations, show and state , a) the domain, B) range c) the asymptotes
F(x)= 1/x^2-4


please show work!

  • college algebra -

    I see no use for transformations if F(x) = 1/(x^2-4), so I'll assume you meant what you wrote:

    F(x) = (1/x^2) - 4

    That is just the graph of 1/x^2, translated 4 units downward.

    So, since 1/x^2 has asymptotes x=0 and y=0, F has asymptotes x=0 and y = -4.

    Domain is all reals except x=0
    Range is all reals except y=-4

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