Complete the table.

Question

f(d) = 7d2 + 7d − 3
d f(d)
–3
–2
–1
0

Answer 1

To complete the table for the function \( f(d) = 7d^2 + 7d - 3 \), we will calculate the value of \( f(d) \) for each value of \( d \).

1. For \( d = -3 \): \[ f(-3) = 7(-3)^2 + 7(-3) - 3 \] \[ = 7(9) - 21 - 3 \] \[ = 63 - 21 - 3 \] \[ = 39 \]

2. For \( d = -2 \): \[ f(-2) = 7(-2)^2 + 7(-2) - 3 \] \[ = 7(4) - 14 - 3 \] \[ = 28 - 14 - 3 \] \[ = 11 \]

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

4. For \( d = 0 \): \[ f(0) = 7(0)^2 + 7(0) - 3 \] \[ = 0 + 0 - 3 \] \[ = -3 \]

Now we can fill in the table:

\[ \begin{array}{|c|c|} \hline d & f(d) \ \hline -3 & 39 \ -2 & 11 \ -1 & -3 \ 0 & -3 \ \hline \end{array} \]