Review the graph of f(x).
On a coordinate plane, a curve approaches y = 2 in quadrant 2 and curves down and approaches x = negative 1 in quadrant 3. Another curve approaches x = negative 1 in quadrant 2, curves down through (0, 5), and approaches y = 2 in quadrant 1.
Which statement relates limits to an asymptote of the function?
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = 2 so the function has a vertical asymptote at x = 2.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = negative 1 so the function has a vertical asymptote at x = –1.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = 2 so the function has a horizontal asymptote at y = 2.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = negative 1 so the function has a horizontal asymptote at y = –1.