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Advanced Math / Nonlinear functions Difficulty: Hard

Which of the following functions has(have) a minimum value at -3 ?

  1. f(x)=-6(3)x-3
  2. g(x)=-3(6)x

 

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Explanation

Choice D is correct. A function of the form fx=abx+c, where a<0 and b>1, is a decreasing function. Both of the given functions are of this form; therefore, both are decreasing functions. If a function f is decreasing as the value of x increases, the corresponding value of fx decreases; therefore, the function doesn’t have a minimum value. Thus, neither of the given functions has a minimum value.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.