Think you’ve got your head wrapped around Functions, Graphs, and Limits? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Which of the following statements is true for a function f(x)?
f(x) cannot cross its horizontal asymptote(s).
A vertical asymptote can only be drawn at x = a if f(a) is undefined.
f(x) must approach its horizontal asymptote as x approaches ∞.
A vertical asymptote is drawn at x = a if at least one of 
is either ∞ or -∞
is either ∞ or -∞ Q. Find all vertical asymptotes (if any) of the function 
x = 2 and x = -2
x = 0
x = 0, x = 2, and x = -2
f(x) has no vertical asymptotes
Q. The function 
has
has a hole at x = -10 and a vertical asymptote at x = 7
a vertical asymptote at x = -10 and a hole at x = 7
vertical asymptotes at x = -10 and x = 7
holes at x = -10 and x = 7
Q. Which statement is true?
Q. The function 
has
has a horizontal asymptote
a slant asymptote
a curvilinear asymptote
none of the above
Q. The function 
has
has a horizontal asymptote at x = 0
a horizontal asymptote at y = 0
a horizontal asymptote at x = 3
a horizontal asymptote at y = 3
Q. Which of the following pictures could be a graph of the function 
?
? 
Q. Which of the following pictures could be a graph of the function
Q. 
0
-1
∞
-∞
Q. For the function 
,
,which function should we choose for p(x) to ensure that 
?
p(x) = ln x
p(x) = 1000x2 + 4x + 6
p(x) = ln x + x2
p(x) = 2x