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14 January, 14:34

What is the equation for the asymptote of the function

f (x) = 2^x?

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Answers (1)
  1. 14 January, 15:02
    0
    The function 2^x is exponential.

    It keeps growing as x goes to + infinity so it does not have horizontal asymptote to the right.

    The limit of 2^x when x goes to - inifinity is 0, so y = 0 is a horizontal asymptote.

    It does not have vertical asymptotes because the function is defined for all the real x values.

    Answer: y = 0
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