Question

As x increases without bound, f(x):

increases without bound


decreases without bound


approaches x = 3


approaches y = -4

Answer 1

Answer: Choice D) approaches y = -4

"x increases without bound" is another way of saying "x heads off to positive infinity". Visually, you follow the graph curve going to the right. As the graph shows, the curve steadily gets closer to the horizontal line y = -4, but it never actually gets there. This line is the horizontal asymptote.