Question for-th
For the exponential function , the value of is , where is a constant. Which of the following equivalent forms of the function shows the value of as the coefficient or the base?
For the exponential function f , the value of f 1 is k , where k
Hard-difficulty · SAT Math · Nonlinear Functions — Exponential growth and decay functions. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice C is correct. For the form of the function in choice C, , the value of can be found as , which is equivalent to , or . Therefore, , which is shown in as the coefficient.
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 D is incorrect and may result from conceptual or calculation errors.
More Nonlinear Functions practice questions
- f x = 4 x 2 - 50 x + 126 The given equation
- The function p is defined by p n = 7 n 3 . What
- The parabola opens downward. The vertex is at point (4 comma 9). The parabola
- f x = x + 7 2 + 4 The function f is defined
- The function f w = 6 w 2 gives the area of a rectangle,
- The exponential function g is defined by g x = 19 · a x
- In quadrant 3, the curve rises to its maximum at point (0 comma negative
- q ( x ) = 32 ( 2 x ) Which table gives three
Browse all Passport to Advanced Math practice questions or return to the full SAT question bank.