Question

Instructions: Fill in the table of values for the function =3−4.

Answer 1

We have here a case of a linear function. In this case, we have that the linear function is given by:

`y=f(x)=3x-4`

To fill the table, we need to substitute each value for the varible x into the function, asimplify the expression, and we will get the corresponding value for y (or f(x)). Therefore, we have:

For x = -3

Then we have:

`\begin{gathered} y=f(-3)=3(-3)-4=-9-4=-13 \\ y=f(-3)=-13 \end{gathered}`

Therefore, for x = -3, we have that y (or f(x)) = -13

For x = -1

`\begin{gathered} y=f(-1)=3(-1)-4=-3-4=-7 \\ y=f(-1)=-7 \end{gathered}`

Then, for x = -1, y = -7

For x = 1

`\begin{gathered} y=f(1)=3(1)-4=3-4=-1 \\ y=f(1)=-1 \end{gathered}`

Then, for x = 1, y = -1.

For x = 3

`\begin{gathered} y=f(3)=3(3)-4=9-4=5 \\ y=f(3)=5 \end{gathered}`

Then, for x = 3, y = 5

For x = 5

`\begin{gathered} y=f(5)=3(5)-4=15-4=11 \\ y=f(5)=11 \end{gathered}`

Then, for x = 5, y = 11.

In summary, therefore, we can comptete the table as follows:

x y or f(x)

-3 -13

-1 -7

1 -1

3 5

5 11