what inputs of this function have an output of 0?

Explanation:

Step1: Recall function - output relationship

The output of a function $y = f(x)$ is 0 when $y = 0$. On a graph, this means finding the $x$ - values where the graph of the function intersects the $x$ - axis (since $y = 0$ on the $x$ - axis).

Step2: Identify intersection points

Looking at the graph, the function intersects the $x$ - axis at $x=- 10$ and $x = 0$.

Answer:

$x=-10, x = 0$