Question

If x >(or equal) 0, the horizontal line y = 2 is an asymptote for the graph of the function f.?
!!! asked 5 years ago
Which of the folling must be true?
ONLY 1 ANSWER!

a. f(0) = 2
b. f(x) does not = 2 for all x> or equal 0
c. f(2) is undefined
d. lim as x approaches 2 f(x) = infin.
e. lim as x approaches infin. f(x) = 2

Answer 1

so.. Hello psymon. Ive found the two different answers online

Answer 2

some of the people said that b was the answer, but ive seen more people saying that e is the right answer..

Answer 3

my question is.. why is E the right answer out of all the other choices?

Answer 4

Did you confirm E to be correct, or are you still unsure?

Answer 5

no not at all. I do not know the answer to the question. I just found people saying that the correct answer is E and i dont know why the answer is E out of all the others.

Answer 6

Do you have any idea why B is wrong?

Answer 7

Because B is wrong for a good, yet maybe subtle reason.

Answer 8

why is A wrong?

Answer 9

Because of the word "must"

Answer 10

is E the right answer because the horizontal asymptote for the graph is y =2 . so f(x) when the x approaches to infinity should be 2?

Answer 11

Right. The graph will always eventually move towards thehorizontal asymptote. So at some point the graph will go towards that y = 2 value and never reach it, always approaching it to infinity.

B is also the wrong answer because a graph is allowed to cross a horizontal asymptote. So that means f(x) = 2 is possible. Its only the end behavior of the graph that moves towards the asymptote.

Answer 12

thank you very much psymon

Answer 13

Yeah, np.