Question

Complete the table.

f(u) = 3u2 − 1
u f(u)
–2
0
2
4

Answer 1

To complete the table for the function \( f(u) = 3u^2 - 1 \), we will substitute the values of \( u \) into the function.

1. For \( u = -2 \):
\[
f(-2) = 3(-2)^2 - 1 = 3(4) - 1 = 12 - 1 = 11
\]

2. For \( u = 0 \):
\[
f(0) = 3(0)^2 - 1 = 0 - 1 = -1
\]

3. For \( u = 2 \):
\[
f(2) = 3(2)^2 - 1 = 3(4) - 1 = 12 - 1 = 11
\]

4. For \( u = 4 \):
\[
f(4) = 3(4)^2 - 1 = 3(16) - 1 = 48 - 1 = 47
\]

Now, let's fill in the table:

\[
\begin{array}{|c|c|}
\hline
u & f(u) \\
\hline
-2 & 11 \\
0 & -1 \\
2 & 11 \\
4 & 47 \\
\hline
\end{array}
\]