Think you’ve got your head wrapped around Polynomials? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Which of the following statements correctly describes the discontinuities of the rational function 
There is a hole at x = -4 and a vertical asymptote at x = 4.
There is a hole at x = 4 and a vertical asymptote at x = -4.
There are vertical asymptotes at x = 4 and x = -4.
There are holes at x = 4 and x = -4.
There are no discontinuities in the rational function.
Q. Which statement about 
is correct?
is correct? There is a hole at x = -1, a vertical asymptote at x = -5, and the line y = 1 is its horizontal asymptote.
There is a hole at x = -1, a vertical asymptote at x = -5, and the x-axis is its horizontal asymptote.
There is a hole at x = -5, a vertical asymptote at x = -1, and the x-axis is its horizontal asymptote.
There are vertical asymptotes at x = -1 and at x = -5, and the x-axis is its horizontal asymptote.
There is a hole at x = -1, a vertical asymptote at x = -5 and there is no horizontal asymptote.
Q. A rational function has one vertical asymptote at x = 7, and the x-axis is its horizontal asymptote. It has no holes. Which of the following could be the equation of this rational function?
Q. A rational function has one vertical asymptote, which is at x = 6, one hole, at x = 1, and the x-axis is its horizontal asymptote. Which of the following could be the equation of this rational function?
Q. A rational function has one vertical asymptote, which is at x = 6, one hole, at x = 1, and a horizontal asymptote at y = 1. Which of the following could be the equation of this rational function?
Q. Which statement about is correct?
is correct? It looks like the x-axis at its ends.
It looks like the line y = 3 at its ends.
It looks like the line x = 3 at its ends.
It looks like the line y = x at its ends.
It looks like the line y = 3x at its ends.
Q. What is the horizontal asymptote of 
?
? y = -1
y = x
x = -1
y = 1
There are no horizontal asymptotes, silly.
Q. y = 2x – 1 is a slant asymptote for which function?
Q. What are the vertical asymptotes of 
?
? x = -1 and 3
x = -1, 1, and 3
x = -1, 3, and ±i
x = -1, 0, -1, and 3
Huh? We don't see any vertical asymptotes.
Q. Which of the following statements about horizontal asymptotes is false?
A rational function has a horizontal asymptote if the order of its numerator is less than or equal to the order of its denominator.
The x-axis is the horizontal asymptote of the rational function if the order of its numerator is smaller than the order of its denominator.
The line y = 1 will be the horizontal asymptote for the rational function 
If the order of the numerator is larger than the order of its denominator, the rational function has a slant asymptote.
The end behavior of a rational function always resembles a horizontal line.