Question

Give the range of x-2y=0 for the domain {-1,0,4} give your answers in order from least to greatest separate by comma without any spaces give the answers as decimals rounded to one place where necessary

Answer 1

The domain is the set of values of x. The range is the set of values of y.

$x-2y=0 \hbox{ for the domain } \{-1,0,4 \} \\ \hbox{plug the values of x into the equation and solve for y:} \\ \\ -1-2y=0 \\ -2y=1 \\ y=-\frac{1}{2} \\ y=-0.5 \\ \\ 0-2y=0 \\ -2y=0 \\ y=0 \\ \\ 4-2y=0 \\ -2y=-4 \\ y=\frac{-4}{-2} \\ y=2 \\ \\ \hbox{the range: } \{ -0.5, 0, 2 \}$

The answer is {-0.5,0,2}.