Question

Complete the table.

f(x) = –5x2 − 10x
x f(x)
–3
–2
–1
0

Answer 1

To complete the table for the function \( f(x) = -5x^2 - 10x \), we need to compute the value of \( f(x) \) for each given \( x \).

### Calculations:

1. For \( x = -3 \):
\[
f(-3) = -5(-3)^2 - 10(-3) = -5(9) + 30 = -45 + 30 = -15
\]

2. For \( x = -2 \):
\[
f(-2) = -5(-2)^2 - 10(-2) = -5(4) + 20 = -20 + 20 = 0
\]

3. For \( x = -1 \):
\[
f(-1) = -5(-1)^2 - 10(-1) = -5(1) + 10 = -5 + 10 = 5
\]

4. For \( x = 0 \):
\[
f(0) = -5(0)^2 - 10(0) = 0
\]

Now we can complete the table:

| x | f(x) |
|------|----------|
| -3 | -15 |
| -2 | 0 |
| -1 | 5 |
| 0 | 0 |

### Final Table:

| x | f(x) |
|------|----------|
| -3 | -15 |
| -2 | 0 |
| -1 | 5 |
| 0 | 0 |