give an example of an uneven function

1 answer

An uneven function is often referred to as an "odd function" in mathematics. An odd function satisfies the property that \( f(-x) = -f(x) \) for all \( x \) in the domain of the function.

A classic example of an odd function is:

\[ f(x) = x^3 \]

Let's check the property:

\[ f(-x) = (-x)^3 = -x^3 = -f(x) \]

Since this holds true for all \( x \), \( f(x) = x^3 \) is indeed an odd function. Other examples of odd functions include \( f(x) = \sin(x) \) and \( f(x) = x \).