sat-dog

1.25 Choice B is correct. For the function f, since the base of the exponent, , is 1.25 x greater than 1, the value of ^ h increases as x increases. Therefore, the value 18 1.25 x 18 1.25 x+41 of ^ h and the value of ^ h also increase as x increases. Since f $ is therefore an increasing function where x 0, the function f has no maximum 0.73 value. For the function g, since the base of the exponent, , is less than 1, the 0.73 9 0.73 x x value of ^ h decreases as x increases. Therefore, the value of ^ h also $ decreases as x increases. It follows that the maximum value of g^xh for x 0 = 0 =9 0.73 0 occurs when x 0. Substituting 0 for x in the function g yields g^ h ^ h , 0 =9 1 0 =9 which is equivalent to g^ h ^ h, or g^ h . Therefore, the maximum value of $ g^xh for x 0 is 9, which appears as a coefficient in equation II. So, of the two equations given, only II displays, as a constant or coefficient, the maximum value $ of the function it defines, where x 0. Choice A is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.