Question

or
Complete the table.

f(j) = –3j^2
j f(j)
–1
0
1
2

Answer 1

To complete the table for the function \( f(j) = -3j^2 \), we will calculate the value of \( f(j) \) for each provided value of \( j \).

1. When \( j = -1 \):
\[
f(-1) = -3(-1)^2 = -3(1) = -3
\]

2. When \( j = 0 \):
\[
f(0) = -3(0)^2 = -3(0) = 0
\]

3. When \( j = 1 \):
\[
f(1) = -3(1)^2 = -3(1) = -3
\]

4. When \( j = 2 \):
\[
f(2) = -3(2)^2 = -3(4) = -12
\]

Now, we can fill in the table:

\[
\begin{array}{|c|c|}
\hline
j & f(j) \\
\hline
-1 & -3 \\
0 & 0 \\
1 & -3 \\
2 & -12 \\
\hline
\end{array}
\]

So the completed table is:

\[
\begin{array}{|c|c|}
\hline
j & f(j) \\
\hline
-1 & -3 \\
0 & 0 \\
1 & -3 \\
2 & -12 \\
\hline
\end{array}
\]