The function f is defined by f(x) = 270(0.1)^x. What is the value of f(0)?
Correct answer: D (parsed from the explanation — this source omits an answer key for this item)
Explanation
( ) ( ) = Choice D is correct. The value of f 0 is the value of f x when x 0. ( )= ( )0 Substituting 0 for x in the given function yields f 0 270 0.1 , or ( )= ( ) ( )= ( ) f 0 270 1, which is equivalent to f 0 270. Therefore, the value of f 0 is 270. ( ) Choice A is incorrect. This is the value of x, not f x . Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect. This is the ( ) ( ) value of f 1, not f 0 .
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