## University Calculus: Early Transcendentals (3rd Edition)

Odd functions are those, where f(-x)=-f(x). Here, $x^{-5}=\frac{1}{x^{5}}$, therefore $f(-x)=\frac{1}{(-x)^{5}}=-\frac{1}{x^{5}}$ and $-f(x)=-\frac{1}{x^{5}}$, which are equal, therefore the function is odd.