Question

Consider the table representing a rational function.

Which statement describes the graph of the function?

The function has holes when x = 0, x = 3, and x = 5.
The function has vertical asymptotes when x = 0, x = 3, and x = 5.
The function has holes when x = 0 and x = 3, and a vertical asymptote when x = 5.
The function has a hole when x = 3, and vertical asymptotes when x = 0 and x = 5.

Answer 1

The function has holes when x = 0, x = 3, and x = 5, and a vertical asymptote when x = 5.

The function has holes when x = 0, x = 3, and x = 5.

The graph of the function has holes at x = 0, x = 3, and x = 5, since the function is undefined at these points. The function approaches positive or negative infinity as x approaches these values from either side.

[Image of a graph of a rational function with holes at x = 0, x = 3, and x = 5]

The function does not have any vertical asymptotes.