Respuesta :

See in the attached file

Explanation:

In this case, we have the following linear function written in Standard form:

[tex]3x-y = 1[/tex]

But we can write it in slope intercept form:

[tex]3x-y = 1 \\ \\ \\ Add \ -3x \ to \ both \ sides: \\ \\ 3x-y-3x = 1-3x \\ \\ -y=-3x+1 \\ \\ \\ Multiply \ by \ -1: \\ \\ y=3x-1[/tex]

For the domain D: {-3, -1, 0, 4}, that is, x takes these values, we have the following y-values:

[tex]x=-3 \\ \\ y=3(-3)-1=-10 \\ \\ \\ x=-1 \\ \\ y=3(-1)-1=-4 \\ \\ \\ x=0 \\ \\ y=3(0)-1=-1 \\ \\ \\ x=4 \\ \\ y=3(4)-1=11[/tex]

By using graphing tools we can graph the points:

[tex](-3,-10) \\ \\ (-1,-4) \\ \\ (0,-1) \\ \\ (4,11)[/tex]

The graph is shown below.

Learn more:

Linear function: https://brainly.com/question/13654704

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