Final answer:
The vertical asymptote is x = -2, the horizontal asymptote is y = 1, there is a hole at (-1, 4), the x-intercept is (-5, 0), and the y-intercept is (0, 2.5).
Step-by-step explanation:
A vertical asymptote occurs when the value of x approaches a certain number and the y-values increase or decrease without bound. In this case, the vertical asymptote is x = -2.
A horizontal asymptote occurs when the y-values approach a certain number as x increases or decreases without bound. In this case, the horizontal asymptote is y = 1.
A hole occurs when the function is undefined at a certain point but can be filled in to make the function continuous. In this case, there is a hole at (-1, 4).
The x-intercept is the point where the graph intersects the x-axis. In this case, the x-intercept is (-5, 0).
The y-intercept is the point where the graph intersects the y-axis. In this case, the y-intercept is (0, 2.5).