Answer
x-int: (0,0)
y-int: (0,0)
Vertical Asymptotes: x=-1, x=2
Horizontal asymptote: y=0
Work Step by Step
From the graph:
The function crosses the x and y-axis at (0,0), so the x-intercept and y-intercept are both equal to 0
The vertical asymptotes (as indicated by the blue lines in the graph) are at x=-1, and x=2
The horizontal asymptote is y=0, which is also the x-axis. The middle part of the function in the domain (-1, 2) crosses the horizontal asymptote, but that is completely ok. The left part with domain (-∞, -1) and the right part of the function with domain (2, ∞) approaches 0.
