Question

Complete the table.

f(x) = x2 + 3
x f(x)
–4
–2
0
2

Answer 1

To complete the table for the function \( f(x) = x^2 + 3 \), we will substitute each value of \( x \) into the function and calculate \( f(x) \).

1. For \( x = -4 \):
\[
f(-4) = (-4)^2 + 3 = 16 + 3 = 19
\]

2. For \( x = -2 \):
\[
f(-2) = (-2)^2 + 3 = 4 + 3 = 7
\]

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

4. For \( x = 2 \):
\[
f(2) = (2)^2 + 3 = 4 + 3 = 7
\]

Now we can fill in the table:

\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
-4 & 19 \\
-2 & 7 \\
0 & 3 \\
2 & 7 \\
\hline
\end{array}
\]