Question

Complete the table.

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:

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