For which of the following functions does \(f(-x)=-f(x)\) for all real number values of \(x?\)

[Gmat_mission]

For which of the following functions does \(f(-x)=-f(x)\) for all real number values of \(x?\)

A. \(x^8-x^4\)

B. \(x^2-x^6\)

C. \(\dfrac{x^5}{x^7}\)

D. \(\dfrac{x^9}{x^5+1}\)

E. \(\dfrac{x^5}{x^2+1}\)

Answer: E

Source: Veritas Prep