Respuesta :

Given that the function is

[tex]y=5x-2[/tex]

with the domain given below as

[tex](0.5,11)[/tex]

The range is the set of values generated by the evaluation of the function for the set of domain values.

[tex]Domain\colon x\in\text{ }\lbrace0.5,11\rbrace[/tex]

The range of the function will be

[tex]\begin{gathered} f(x)=5x-2 \\ f(0.5)=5(0.5)-2 \\ f(0.5)=2.5-2 \\ f(0.5)=0.5 \end{gathered}[/tex][tex]\begin{gathered} f(x)=5x-2 \\ f(11)=5(11)-2 \\ f(11)=55-2 \\ f(11)=53 \end{gathered}[/tex]

Hence,

The range of the function y=5x-2 is

[tex]=\lbrace0.5,53\rbrace[/tex]

Therefore,

The final answer is OPTION D

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