1. **State the problem:** We are given the function $f(g) = g^2 + 4$ and a table with values of $g$ as $-2$, $0$, $2$, and $4$. We need to find the corresponding values of $f(g)$ for each $g$. 2. **Formula used:** The function is $f(g) = g^2 + 4$. This means for each value of $g$, we square it and then add 4. 3. **Calculate $f(g)$ for each $g$:** - For $g = -2$: $$f(-2) = (-2)^2 + 4 = 4 + 4 = 8$$ - For $g = 0$: $$f(0) = 0^2 + 4 = 0 + 4 = 4$$ - For $g = 2$: $$f(2) = 2^2 + 4 = 4 + 4 = 8$$ - For $g = 4$: $$f(4) = 4^2 + 4 = 16 + 4 = 20$$ 4. **Complete the table:** | $g$ | $f(g)$ | |-----|--------| | -2 | 8 | | 0 | 4 | | 2 | 8 | | 4 | 20 | This completes the table by evaluating the function at each given $g$ value.