Complete the table.

Question

f(x) = x2 − 2x + 7
x f(x)
–1
0
1
2

Answer 1

To complete the table for the function \( f(x) = x^2 - 2x + 7 \), we need to calculate the value of \( f(x) \) for each given \( x \).

1. For \( x = -1 \): \[ f(-1) = (-1)^2 - 2(-1) + 7 = 1 + 2 + 7 = 10 \]

2. For \( x = 0 \): \[ f(0) = 0^2 - 2(0) + 7 = 0 - 0 + 7 = 7 \]

3. For \( x = 1 \): \[ f(1) = 1^2 - 2(1) + 7 = 1 - 2 + 7 = 6 \]

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

Now, we can fill in the table:

\[ \begin{array}{|c|c|} \hline x & f(x) \ \hline -1 & 10 \ 0 & 7 \ 1 & 6 \ 2 & 7 \ \hline \end{array} \]