Question

Fill in the table using this function rule.y = 6x-3ху-5-1O1I1/6

Answer 1

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

The rule for y in terms of x is:

$y=6x-3$

For x=-5:

$\begin{gathered} y=6(-5)-3 \\ =-30-3 \\ =-33 \end{gathered}$

For x=-1:

$\begin{gathered} y=6(-1)-3 \\ =-6-3 \\ =-9 \end{gathered}$

For x=0:

$\begin{gathered} y=6(0)-3 \\ =0-3 \\ =-3 \end{gathered}$

For x=1:

$\begin{gathered} y=6(1)-3 \\ =6-3 \\ =3 \end{gathered}$

For x=1/6:

$\begin{gathered} y=6(\frac{1}{6})-3 \\ =1-3 \\ =-2 \end{gathered}$

Therefore, the table with the corresponding values of y must be:

x y

-5 -33

-1 -9

0 -3

1 3

1/6 -2