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

Answer 1

it cannot have an asymptote because it is a constant of 3 on every interval that looks like \((.25,.75),(1.25,1.75),(2.25,2.75),...\)