1. **State the problem:** We are given a piecewise graph and several statements about the function $f$. We need to determine which statements are true. 2. **Analyze the statements:** - $f(6) = -3$ - The range is $[-7, 4)$ - There are 2 y-intercepts - The domain is $[-10, 10]$ - $f(10) = -3$ 3. **Recall definitions:** - The **domain** is the set of all possible $x$-values for which $f(x)$ is defined. - The **range** is the set of all possible $y$-values that $f(x)$ can take. - A **y-intercept** occurs where the graph crosses the $y$-axis, i.e., at $x=0$. 4. **Check domain:** The graph extends from about $x=-10$ to $x=10$, so the domain is $[-10, 10]$. 5. **Check range:** The lowest $y$-value is about $-7$ and the highest is just below $4$ (open circle at $4$ means $4$ is not included). So the range is $[-7, 4)$. 6. **Check y-intercepts:** The graph crosses the $y$-axis twice (two points where $x=0$), so there are 2 y-intercepts. 7. **Check $f(6)$:** At $x=6$, the graph value is $-3$, so $f(6) = -3$ is true. 8. **Check $f(10)$:** At $x=10$, the graph value is $-3$, so $f(10) = -3$ is true. **Final answers:** - $f(6) = -3$ is true. - The range is $[-7, 4)$ is true. - There are 2 y-intercepts is true. - The domain is $[-10, 10]$ is true. - $f(10) = -3$ is true. All statements are true.