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15 January, 21:45

Which of the following is true about the exponential function y=2^X

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  1. 16 January, 01:05
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    The exponential function y = 2 ^ x has these properties:

    A. The domain is the set of all real numbers.

    B. The range is zero to infinity, (0, ∞).

    C. The graph appears in Quadrants I and II and never touches the x-axis.

    D. The function is always positive.

    E. The inverse function of y = 2 ^ x is found b) y interchanging x and y here and solving x = 2^y for y: taking the natural log (ln) of both sides, ln x = y ln 2, so that y = (ln x) / (ln 2)

    The above (E) can only be done if x is positive.
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