Question

How do you determine whether the graph of `f(x)=1/(5x)-x^19` is symmetric with respect to the origin?

Answer 1

Monomials with odd exponents are odd functions, and so is their sum.

Explanation:

You can verify that by noting that:

`f(-x) = (-1) 1/(5x) - (-1)^19x^19 = -f(x)`