Question

Complete the table.

f(k) = k2 − 4k
k f(k)
–2
0
2
4

Answer 1

To complete the table for the function \( f(k) = k^2 - 4k \), we will compute \( f(k) \) for each value of \( k \).

1. For \( k = -2 \):
\[
f(-2) = (-2)^2 - 4(-2) = 4 + 8 = 12
\]

2. For \( k = 0 \):
\[
f(0) = 0^2 - 4(0) = 0 - 0 = 0
\]

3. For \( k = 2 \):
\[
f(2) = 2^2 - 4(2) = 4 - 8 = -4
\]

4. For \( k = 4 \):
\[
f(4) = 4^2 - 4(4) = 16 - 16 = 0
\]

Now, we can fill in the table:

\[
\begin{array}{|c|c|}
\hline
k & f(k) \\
\hline
-2 & 12 \\
0 & 0 \\
2 & -4 \\
4 & 0 \\
\hline
\end{array}
\]

So the completed table is:

\[
\begin{array}{|c|c|}
\hline
k & f(k) \\
\hline
-2 & 12 \\
0 & 0 \\
2 & -4 \\
4 & 0 \\
\hline
\end{array}
\]