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

$f (x) = - 6 {(3)}^{x} - 3$

$g (x) = - 3 {(6)}^{x}$

Question

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

Accepted Answer

Choice D is correct. A function of the form f x = a b x + c , where a &#60; 0 and b &#62; 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&rsquo;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.

Question 5291f5