Question

Fill in the table using this function rule.y = -3x-3

Answer 1

Replace the given values of x into the equation to find the corresponding values of y.

x=-6

$\begin{gathered} y=-3x-3 \\ \\ \Rightarrow y=-3(-6)-3=18-3=15 \end{gathered}$

x=-3

$\begin{gathered} y=-3x-3 \\ \\ \Rightarrow y=-3(-3)-3=9-3=6 \end{gathered}$

x=0

$\begin{gathered} y=-3x-3 \\ \\ \Rightarrow y=-3(0)-3=0-3=-3 \end{gathered}$

x=3

$\begin{gathered} y=-3x-3 \\ \\ \Rightarrow y=-3(3)-3=-9-3=-12 \end{gathered}$

Therefore, the table should be filled as follows:

$\begin{gathered} x\qquad y \\ -6\qquad15 \\ -3\qquad6 \\ 0\qquad-3 \\ 3\qquad-12 \end{gathered}$