Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

function f of (2 n) = 2 function f of n for all integers n

function f of 4 = 4

If function f is a function defined for all positive integers n, and function f satisfies the two conditions above, which of the following could be the definition of function f?

(A) function f of n = n -2

(B) function f of n = n

(C) function f of n = 2 n

(D) function f of n = 4

(E) function f of n = (2 n) -4 

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