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13 March, 02:46

Which statements accurately describe the function f (x) = 3√18^x? Check all that apply.

A. The domain is all real numbers.

B. The range is y > 3.

C. The initial value is 3.

D. The initial value is 9.

E. The simplified base is √2.

F. The simplified base is 3√2.

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Answers (1)
  1. 13 March, 03:01
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    Option A is correct: the domain is all real numbers for there is no real value of x for which f (x) does not have a value.

    Option B is incorrect: the range is not y > 3, because, for negative values of x, f (x) < 3, e. g. for x = - 1, f (x) = 3 * sqrt (18^ (-1)) = 3*sqrt (1/18) = 3*0.2357 = 0.7071 < 3.

    Option C is correct: f (0) = 3*sqrt (18^0) = 3*sqrt (1) = 3 * 1 = 3

    Option D is incorrest: (see working for option C)
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