Define a function f to be

f(x)={ e^x if x is within a quarter of an integer
{ 3 otherwise
(the perenthesis is suppose to be one big parenthesis since i don't know how to do it on here.

Hand sketch a graph of f and then decide whether the graph of f has
A) one vertical asymptote x=0 and no horizontal asymptotes
B) one horizontal asymptote y=0 and no vertical asymptotes
C) one horizontal asymptote y=3 and no vertical asymptotes
D) The graph of f does not have any asymptotes

Question

Define a function f to be

f(x)={ e^x if x is within a quarter of an integer
        { 3 otherwise
  (the perenthesis is suppose to be one big parenthesis since i don't know how to do it on here.

Hand sketch a graph of f and then decide whether the graph of f has
  A) one vertical asymptote x=0 and no horizontal asymptotes
  B) one horizontal asymptote y=0 and no vertical asymptotes
  C) one horizontal asymptote y=3 and no vertical asymptotes
  D) The graph of f does not have any asymptotes

anonymous · Answer

it definitely has a horizontal asymptote at x=0 because thats what e^x has

anonymous · Answer

*y=0 my bad

zepdrix · Answer

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Hmmm I don't think it has any asymptotes. If you look at what it does as x approaches negative infinity it is alternating, part of it is approaching zero but the other part is always 3.