Question

find the range of the function rule y=5x-2 for the domain. {0.5,11}

Answer 1

Given that the function is

$y=5x-2$

with the domain given below as

$(0.5,11)$

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

$Domain\colon x\in\text{ }\lbrace0.5,11\rbrace$

The range of the function will be

$\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}$$\begin{gathered} f(x)=5x-2 \\ f(11)=5(11)-2 \\ f(11)=55-2 \\ f(11)=53 \end{gathered}$

Hence,

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

$=\lbrace0.5,53\rbrace$

Therefore,

The final answer is OPTION D