Which of the following functions has(have) a minimum value at −3 ?
I. f(x) = −6(3)^x − 3
II. g(x) = −3(6)^x

Question

Which of the following functions has(have) a minimum value at −3 ? I. f(x) = −6(3) x − 3 II. g(x) = −3(6) x

Accepted Answer

Choice D is correct. A function of the form f(x) = a(b) x + c, where a 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 f(x) 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.

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