1. **Problem statement:** Find the zeros (Nullstellen) of the polynomial function $$g(x) = -0.1(x - 2)(x - 4)(x - 3)$$ and mark them on the graph. 2. **Formula and rules:** The zeros of a polynomial function are the values of $$x$$ for which $$g(x) = 0$$. 3. **Set the function equal to zero:** $$-0.1(x - 2)(x - 4)(x - 3) = 0$$ 4. **Solve for zeros:** Since $$-0.1 \neq 0$$, the product equals zero only if one of the factors is zero: $$x - 2 = 0 \Rightarrow x = 2$$ $$x - 4 = 0 \Rightarrow x = 4$$ $$x - 3 = 0 \Rightarrow x = 3$$ 5. **Final answer:** The zeros of $$g$$ are $$x = 2$$, $$x = 3$$, and $$x = 4$$. Note: The point $$(-3, 0)$$ mentioned in the prompt is not a zero of this function.