1. The problem asks to state one property of a discontinuous function. 2. A discontinuous function is a function that is not continuous at one or more points in its domain. 3. One key property of a discontinuous function is that there exists at least one point $x = c$ in the domain where the limit of the function as $x$ approaches $c$ does not equal the function's value at $c$, or the limit does not exist. 4. Formally, for a function $f(x)$ to be discontinuous at $x = c$, one of the following must hold: - $\lim_{x \to c} f(x)$ does not exist, - or $\lim_{x \to c} f(x) \neq f(c)$. 5. This means the function has a "jump," "hole," or "infinite" discontinuity at that point. Final answer: A discontinuous function has at least one point where the limit of the function as $x$ approaches that point does not equal the function's value at that point or the limit does not exist.