Question

If f(x) = x + 3 and g(x) = (x^2 - 9)/(x - 3), which of the following statements are true about the graphs of f and g in the xy-plane?



I. The graphs are exactly the same.
II. The graphs are the same except when .
III. The graphs have an infinite number of points in common.

Answer 1

I got only II.

Answer 2

Btw, for II *except when x = 3

Answer 3

It can't be I cuz II is true. However, wouldn't that mean III is false as well, since they don't have that one point in common?

Answer 4

It not I because as you stated x=3 is not allowed for II. I would think they could have infinite points in common since the two lines go out to infinity.

Are you only allowed one choice?

Answer 5

I thought the answer was II alone, but the answer key said II and III. I understand how they go out to infinity, but wouldn't that one point make it not infinite...?

Answer 6

No.

Answer 7

Hmm... okay then. Thank you!