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What is the range of the function f(x) = 3x − 12 for the domain {-2, 2}? A. {3, 12} B. {-6, -18} C. {-18, -6} D. {6, 18} E. {12, 3}

Answer :

x = -2; 3x − 12 = -6 - 12 = -18
x = 2; 3x − 12 = 6 - 12 = -6

answer

C. {-18, -6} 

Answer:

the range is {-18,-6} for domain {-2,2}

Step-by-step explanation:

find  the range of the function [tex]f(x) = 3x - 12[/tex] for the given domain

domain {-2, 2}

LEts find range f(x) when x=-2, plug in -2 for x in f(x)

[tex]f(x) = 3x - 12[/tex]

[tex]f(x) = 3(-2) - 12=-18[/tex]

LEts find range f(x) when x=2, plug in 2 for x in f(x)

[tex]f(x) = 3x - 12[/tex]

[tex]f(x) = 3(2) - 12=-6[/tex]

So the range is {-18,-6} for domain {-2,2}

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