Complete the table.

Question

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:

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