Question

How do you graph the equation `3x=y` by making a table and what is its domain and range?

Answer 1

See a solution process below:

Explanation:

Because there are no restrictions on the value of `x`, the Domain is the set of Rational Numbers or `{RR}`

Because this is a linear transformation the Range is also the set of Rational Numbers or `{RR}`

Here is a table of solutions for the equation. Because this is a linear equation we really only need two points. However, I have shown and plotted 5 points and then drawn a line through the points to graph the equation:

graph{(y - 3x)((x+2)^2+(y+6)^2-0.08)((x+1)^2+(y+3)^2-0.08)((x-2)^2+(y-6)^2-0.08)((x-1)^2+(y-3)^2-0.08)(x^2+y^2-0.08) = 0 [-20, 20, -10. 10]}