Question

Complete the table.

f(g) = 7g2 + 3
g f(g)
–1
0
1
2

Answer 1

To complete the table, we need to calculate \( f(g) \) for each value of \( g \) using the given function \( f(g) = 7g^2 + 3 \).

Let’s calculate \( f(g) \) for each value of \( g \):

1. For \( g = -1 \):
\[
f(-1) = 7(-1)^2 + 3 = 7 \cdot 1 + 3 = 7 + 3 = 10
\]

2. For \( g = 0 \):
\[
f(0) = 7(0)^2 + 3 = 7 \cdot 0 + 3 = 0 + 3 = 3
\]

3. For \( g = 1 \):
\[
f(1) = 7(1)^2 + 3 = 7 \cdot 1 + 3 = 7 + 3 = 10
\]

4. For \( g = 2 \):
\[
f(2) = 7(2)^2 + 3 = 7 \cdot 4 + 3 = 28 + 3 = 31
\]

Now we can fill in the table:

\[
\begin{array}{|c|c|}
\hline
g & f(g) \\
\hline
-1 & 10 \\
0 & 3 \\
1 & 10 \\
2 & 31 \\
\hline
\end{array}
\]