Question

Which of the following statements is TRUE?
Select one:
a. Vertical asymptotes can be crossed by a graph.
b. Horizontal asymptotes can be crossed by a graph.
c. Vertical asymptotes are determined by the factors of the numerator.
d. Horizontal asymptotes are determined by the factors of the denominator.

Answer 1

Any ideas?

Answer 2

i was thinking a

Answer 3

Ok, that is a start, now why a?

Answer 4

a. Vertical asymptotes can be crossed by a graph.

Have you ever seen this happen?

b. Horizontal asymptotes can be crossed by a graph.

You may wish to consider the central behavior, rather than the tail bahavior.

c. Vertical asymptotes are determined by the factors of the numerator.

Partially.

d. Horizontal asymptotes are determined by the factors of the denominator.

Partially.

In other words, I'm not liking this question design very much. Seems pretty vague.

Answer 5

NO REMEMBER ASYMPTOTES DONT CROSS THE GRAPH

Answer 6

SO U CAN ELIMINATE A ND B

Answer 7

Don't eliminate B. Think hard about what I said about central versus tail.

Answer 8

What definition are you given for an "asymptote" @chantz417?

Answer 9

is a line such that the distance between the curve and the line approaches zero as they tend to infinity

Answer 10

Okay, now think even harder about what I said concerning B.

Answer 11

http://en.wikipedia.org/wiki/Asymptote

Answer 12

Are you thinking hard, yet?

The horizontal asymptote is y = 0.
Is the point (0,0) on the graph, or not?

Answer 13

@chantz417 the answer is b.