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1. Find the range of the function [tex]f(x) = -4x - 8[/tex] for the domain [tex]\{0, 1, 2\}[/tex].

Range: [tex]\quad\]

Sagot :

GinnyAnswer
To find the range of the function [tex]\( f(x) = -4x - 8 \)[/tex] for the given domain [tex]\(\{0, 1, 2\}\)[/tex], we will evaluate the function at each value in the domain.

1. Evaluate [tex]\( f(x) \)[/tex] at [tex]\( x = 0 \)[/tex]:
[tex]\[ f(0) = -4(0) - 8 = 0 - 8 = -8 \][/tex]

2. Evaluate [tex]\( f(x) \)[/tex] at [tex]\( x = 1 \)[/tex]:
[tex]\[ f(1) = -4(1) - 8 = -4 - 8 = -12 \][/tex]

3. Evaluate [tex]\( f(x) \)[/tex] at [tex]\( x = 2 \)[/tex]:
[tex]\[ f(2) = -4(2) - 8 = -8 - 8 = -16 \][/tex]

The range of the function for the domain [tex]\(\{0, 1, 2\}\)[/tex] is therefore the set of outputs obtained from these evaluations. Hence, the range is:

[tex]\[ \boxed{[-8, -12, -16]} \][/tex]
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