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*)?

A vertical asymptote can only be drawn at *x* = *a* if *f*(*a*) is undefined.

A vertical asymptote is drawn at x = a if at least one of is either ∞ or -∞

Q. Find all vertical asymptotes (if any) of the function

Q. The function 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

a horizontal asymptote

a slant asymptote

a curvilinear asymptote

none of the above

Q. The function 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

Picture1

Picture2

Picture3

Picture4

Q. Which of the following pictures could be a graph of the function

Picture1

Picture2

Picture3

Picture4

Q.

0

-1

∞

-∞

Q. The function

Which function should we choose for p(x) to ensure that .