Question

Complete the table.

f(x) = 4x2
x f(x)
–2
–1
0
1

Answer 1

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

1. For \( x = -2 \):
\[
f(-2) = 4(-2)^2 = 4 \cdot 4 = 16
\]

2. For \( x = -1 \):
\[
f(-1) = 4(-1)^2 = 4 \cdot 1 = 4
\]

3. For \( x = 0 \):
\[
f(0) = 4(0)^2 = 4 \cdot 0 = 0
\]

4. For \( x = 1 \):
\[
f(1) = 4(1)^2 = 4 \cdot 1 = 4
\]

Now we can fill in the table:

\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
-2 & 16 \\
-1 & 4 \\
0 & 0 \\
1 & 4 \\
\hline
\end{array}
\]