Set 1: Polynomial Functions
Explanation
For the exponential function f, the value of f (1) is k, where k is a constant. Which of the following equivalent forms of the function f shows the value of k as the coefficient or the base?
Choose the correct answer.
f (x ) = 204.8(1.6)x−2
f (x ) = 128(1.6)x−1
f (x ) = 50(1.6)x+1
f (x ) = 80(1.6)x
Detailed Explanation
Choice B is correct. x -1 Choice B is correct. For the form of the function in choice C, f ( x ) = 128(1.6) , 1-1 the value of f (1) can be found as 128(1.6) , which is equivalent to 128(1.6) , or x -1 128. Therefore, k = 128, which is shown in f ( x ) = 128(1.6) as the coefficient. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors. Choice A is incorrect and may result from conceptual or calculation errors.
Key Steps:
The correct answer is f (x ) = 128(1.6)x−1
🎯 Keep Practicing!
Master all sections for your best SAT score