Write an equation for a rational function whose graph has all of the indicated features.

Question

x - intercept of -4
y - intercept of -2
vertical asymptote with equation x = 2
horizontal asymptote with equation y = 1

Answer 1

x - intercept of -4: y = (x+4)
y(0) = 2
so, y - intercept of -2: y = -(x+4)
vertical asymptote at x = 2: y = -(x+4)/(x-2)
y(0) = 2
so, y = (x+4)/(x+2)
that also has a horizontal asymptote at y=1