Unit G Summary Question #10 Range of a Rational Function

The range of a rational function depends on the y values of the domain. Range is horizontal asymptotes and holes. For example, y = (3x - 4)/(1+2x)
(1 + 2x)y = 3x - 4
y + 2xy - 3x = 4
2xy - 3x = 4 - y
(2y - 3)x = 4 - y
x = (4 - y)/(2y - 3). Domain is finding the x values while range is finding the y values. In this case, we solve for y to get our range. Domain and range go hand in hand because they depend on each other. The y of the domain is the range and the x of the range is the domain.