Question

Find the range of the function rule y=5x-2 for the domain. {-5,-1,0,2,10}

Answer 1

`\begin{gathered} y=5x-2 \\ \text{domain}=\mleft\lbrace-5,-1,0,2,10\mright\rbrace \\ \text{when x=-5} \\ y=5(-5)-2 \\ y=-25-2 \\ y=-27 \\ \text{when x=-1} \\ y=5(-1)-2 \\ y=-5-2 \\ y=-7 \\ \text{when x=}0 \\ y=5(0)-2 \\ y=0-2 \\ y=-2 \\ \text{when x=2} \\ y=5(2)-2 \\ y=10-2 \\ y=8 \\ \text{when x=10} \\ y=5(10)-2 \\ y=48 \\ the\text{Range =}\mleft\lbrace-27,-7,-2,8,48\mright\rbrace \end{gathered}`