Complete the table.

Question

f(x) = 5x2 - 9

X f(x)

-1

0

1

2

Answer 1

To complete the table for the function \( f(x) = 5x^2 - 9 \), we need to calculate \( f(x) \) for each given \( x \) value.

1. For \( x = -1 \): \[ f(-1) = 5(-1)^2 - 9 = 5(1) - 9 = 5 - 9 = -4 \]

2. For \( x = 0 \): \[ f(0) = 5(0)^2 - 9 = 5(0) - 9 = 0 - 9 = -9 \]

3. For \( x = 1 \): \[ f(1) = 5(1)^2 - 9 = 5(1) - 9 = 5 - 9 = -4 \]

4. For \( x = 2 \): \[ f(2) = 5(2)^2 - 9 = 5(4) - 9 = 20 - 9 = 11 \]

Now, we can complete the table:

\[ \begin{array}{|c|c|} \hline x & f(x) \ \hline -1 & -4 \ 0 & -9 \ 1 & -4 \ 2 & 11 \ \hline \end{array} \]