+130560 Here is the graph : https://www.desmos.com/calculator/eyxfsgsa6y
The only x intercept is x = 0
y intercepts → y = 0
To find any possible holes in the graph......factor the numerator and denominator
x ( x - 3 ) x
____________ = ______ a "hole" occurs when x - 3 = 0 ⇒ x = 3
(2x + 3) (x - 3) 2x - 3
And the y coordinate of this point is
3 3 1
______ = _____ = ____ so....the "hole" is at (3, 1/3)
2(3) + 3 9 3
We have a horizontal asymptote at y = 1/2
And we have vertical asymptotes at x = -3/2
