1. **State the problem:** We are given a function $y=f(x)$ with specific points and asked three questions: (a) Is $f(-4)$ negative? (b) For which values of $x$ is $f(x)=0$? (c) For which values of $x$ is $f(x)<0$? Use interval notation. 2. **Analyze the given points:** The function values at given points are: - $f(-4)=2$ - $f(-3)=0$ - $f(-1)=-3$ - $f(1)=4$ - $f(2)=0$ - $f(3)=-4$ - $f(5)=0$ 3. **Answer (a):** Since $f(-4)=2$, which is positive, $f(-4)$ is not negative. 4. **Answer (b):** The function equals zero at $x=-3$, $x=2$, and $x=5$. 5. **Answer (c):** The function is negative where $f(x)<0$. From the points and smooth curve: - Between $x=-3$ and $x=-1$, $f(x)$ goes from 0 to -3, so $f(x)<0$ in $(-3,-1)$. - Between $x=2$ and $x=3$, $f(x)$ goes from 0 to -4, so $f(x)<0$ in $(2,3)$. 6. **Final answers:** - (a) No - (b) $-3, 2, 5$ - (c) $(-3,-1) \cup (2,3)$