+140 i need a refresher on how to do a qeustion like this but i would rather have to get to the answer myself
sketch the graph and explicitly state the equations of any asymptotes, any non-permissible values as a coordinate, any intercepts and the domain and range
the equation is
y=(2x^2-5x-3)/(x^2-4x+3)
+128474 y=(2x^2-5x-3)/(x^2-4x+3) factor numerator/denominator
y = [ ( 2x + 1) (x - 3)] / [ (x - 1) (x - 3)] "cancel" the (x - 3) factor and we have
y = [ 2x + 1] / [ x - 1 ]
Here's the graph : https://www.desmos.com/calculator/yc7cj5ahco
There is a horizontal asymptote at y = 2
A vertical asymptote occurs at x = 1
Domain = all x except x = 1 and x = 3
Range = all y except y = 2
y intercept occurs at (0, -1)
x intercept occurs at ( -1/2, 0)
