MathDB
A Function

Source: 2002 National High School Mathematics League, Exam One, Problem 3

March 13, 2020
function

Problem Statement

Function f(x)=x1−2x−x2f(x)=\frac{x}{1-2^x}-\frac{x}{2} is (A)\text{(A)} an even function, not an odd function. (B)\text{(B)} an odd function, not an even function. (C)\text{(C)} an even function, also an odd function. (D)\text{(D)} neither an even function, nor an odd function.
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