Question

complete the table.

f(x) = 3x2 − 9x + 8
x f(x)
1
2
3
4

Answer 1

To complete the table for the function \( f(x) = 3x^2 - 9x + 8 \), we need to calculate \( f(x) \) for each given \( x \) value.

Let's do the calculations:

1. For \( x = 1 \):
\[
f(1) = 3(1^2) - 9(1) + 8 = 3(1) - 9 + 8 = 3 - 9 + 8 = 2
\]

2. For \( x = 2 \):
\[
f(2) = 3(2^2) - 9(2) + 8 = 3(4) - 18 + 8 = 12 - 18 + 8 = 2
\]

3. For \( x = 3 \):
\[
f(3) = 3(3^2) - 9(3) + 8 = 3(9) - 27 + 8 = 27 - 27 + 8 = 8
\]

4. For \( x = 4 \):
\[
f(4) = 3(4^2) - 9(4) + 8 = 3(16) - 36 + 8 = 48 - 36 + 8 = 20
\]

Now we can complete the table:

\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
1 & 2 \\
2 & 2 \\
3 & 8 \\
4 & 20 \\
\hline
\end{array}
\]