SAT question 08d03fe4 (Nonlinear Functions)

Question

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?

College Board · Accepted Answer

The correct answer is C. Choice C is correct. For the form of the function in choice C, f ( x ) = 128 ( 2 )^x - 1 , the value of f ( 1 ) can be found as 128 ( 2 )^1 - 1 , which is equivalent to 128 ( 2 )^0 , or 128 . Therefore, k = 128 , which is shown in f ( x ) = 128 ( 2 )^x - 1 as the coefficient.

slayerofperson · Answer

remember that if anything to the power of 0 is 1, so if x=1, x-1 is 0, and 2^0 is 1, so the result is the constant k or 128

thisistev · Answer

I don't understand this one

Explanation

Why the other choices are wrong

Student discussion

SAT Question 08d03fe4: Nonlinear Functions answer and explanation with Desmos solution

Explanation

Why the other choices are wrong

Student discussion