1. **State the problem:** We are given the function $f(x) = -x - 4$ and need to find the values of $f(x)$ for $x = -2, 4, 6, 4, 5$. 2. **Formula used:** The function is defined as $f(x) = -x - 4$. This means for any input $x$, the output is the negative of $x$ minus 4. 3. **Calculate each value:** - For $f(-2)$: $$f(-2) = -(-2) - 4 = 2 - 4 = -\cancel{2} + \cancel{2} - 2 = -2$$ - For $f(4)$: $$f(4) = -(4) - 4 = -4 - 4 = -8$$ - For $f(6)$: $$f(6) = -(6) - 4 = -6 - 4 = -10$$ - For $f(4)$ (again): $$f(4) = -4 - 4 = -8$$ - For $f(5)$: $$f(5) = -(5) - 4 = -5 - 4 = -9$$ 4. **Summary of results:** - $f(-2) = -2$ - $f(4) = -8$ - $f(6) = -10$ - $f(4) = -8$ - $f(5) = -9$ These values can be plotted on the coordinate system as points $(-2, -2)$, $(4, -8)$, $(6, -10)$, $(4, -8)$, and $(5, -9)$ respectively.