complete the table.

Question

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:

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