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
