Respuesta :

Answer:

[tex]Range: \{y|y = -8,-6,0,8\}[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 2x - 2[/tex]

[tex]x = \{x|-3,-2,1,5\}[/tex]

Required

The range using set notation

We have:

[tex]g(x) = 2x - 2[/tex]

When [tex]x = -3[/tex]

[tex]g(-3) = 2*-3 - 2 = -8[/tex]

When [tex]x = -2[/tex]

[tex]g(-2) = 2*-2 - 2 = -6[/tex]

When [tex]x = 1[/tex]

[tex]g(1) = 2*1 - 2 =0[/tex]

When [tex]x=5[/tex]

[tex]g(5) = 2*5 - 2 =8[/tex]

So, we have:

[tex]y = -8,-6,0,8[/tex]

Using set notation, the range is:

[tex]Range: \{y|y = -8,-6,0,8\}[/tex]