1. **State the problem:** We are given a piecewise linear graph of the function $f(x)$ and asked to determine which of the given equations are true by reading values from the graph. 2. **Analyze the graph segments:** - From $x=-10$ to $x=-3$, $f(x)$ is constant at $3$. - From $x=-3$ to $x=0$, $f(x)$ decreases linearly from $3$ to $-5$. - From $x=0$ to $x=10$, $f(x)$ increases linearly from $-5$ to $3$. 3. **Evaluate each statement:** - $f(-5)$: Since $-5$ is between $-10$ and $-3$, $f(-5) = 3$, so $f(-5) = 0$ is **false**. - $f(-4)$: Also between $-10$ and $-3$, $f(-4) = 3$, so $f(-4) = 2$ is **false**. - $f(-3)$: At $x=-3$, the graph is at $3$, so $f(-3) = 4$ is **false**. - $f(0)$: At $x=0$, the graph is at $-5$, so $f(0) = 10$ is **false**. - $f(2)$: Between $0$ and $10$, $f(x)$ increases linearly from $-5$ to $3$. The slope is $$m = \frac{3 - (-5)}{10 - 0} = \frac{8}{10} = 0.8.$$ The value at $x=2$ is $$f(2) = -5 + 0.8 \times 2 = -5 + 1.6 = -3.4,$$ so $f(2) = -4$ is **false**. - $f(10)$: At $x=10$, the graph is at $3$, so $f(10) = 0$ is **false**. 4. **Conclusion:** None of the given equations are true based on the graph. Final answer: No equations are true.