Question

Complete the table.

f(x) = –2x + 3
x
f(x)
0
3
1
2
3

Answer 1

To complete the table using the function \( f(x) = -2x + 3 \), we can calculate \( f(x) \) for each given \( x \) value.

Here's the table calculation step by step:

1. **For \( x = 0 \)**:
\[
f(0) = -2(0) + 3 = 3
\]

2. **For \( x = 1 \)**:
\[
f(1) = -2(1) + 3 = -2 + 3 = 1
\]

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

4. **For \( x = 3 \)**:
\[
f(3) = -2(3) + 3 = -6 + 3 = -3
\]

Now we can fill in the table:

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

So your completed table is:

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