Functions, domain,range etc

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Determine the domain,range and horizontal asymptote of f(x)=(3/2)^(4-x). Graph the function

  • Functions, domain,range etc -

    typical exponential function

    domain: any real value of x
    range : y >0

    as x---> +∞ , f(x) ----> 0
    so the x-axis is a horizontal asymptote for large x
    e.g. (3/2)^-500 = 9.0 x 10^-89 , awfully close to zero

    as x ---> - ∞ , f(x) ---> ∞
    e.g. (3/2)^500 = 1.11 x 10^88 , pretty big

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