Answer:
C. -13
Step-by-step explanation:
Solve for g(x) by replacing x with each domain value in the set. Solving for g(x) will give you these numbers:
{20, 2, -4, -13}
-13 is the only value that appears in the range set and in the multiple choice solutions. Therefore, the answer is C. -13
C. [tex]-13[/tex] is a corresponding range value.
The domain of a function refers to the set of all values for which the function is defined.
The range is the set of all values that function takes for the given values of domain.
Domain is [tex]\boldsymbol{\left \{ -8,-2,0,3 \right \}}[/tex]
[tex]g(x)=-3x-4[/tex]
[tex]g(-8)=-3(-8)-4[/tex]
[tex]=20[/tex]
[tex]g(-2)=-3(-2)-4[/tex]
[tex]=2[/tex]
[tex]g(0)=-3(0)-4[/tex]
[tex]=-4[/tex]
[tex]g(3)=-3(3)-4[/tex]
[tex]=-13[/tex]
Range is [tex]\boldsymbol{\left \{ 20,2,-4,-13 \right \}}[/tex]
So, [tex]\boldsymbol{-13}[/tex] is a corresponding range value.
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