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What are x = -3 and x = 4
 
The x-intercepts
 
The vertical asymptotes
 
The holes
 
My favorite numbers
Where is the y-intercept in the following function?
 
There's a hole there
 
y = 1/4
 
0
 
Witness protection
Where are the x-intercepts in the following graph...
 
x = 4
 
x = -2
 
x = 2
 
x = -2/3
Find the holes (if any) in the following function...
 
There are none
 
x = -2, 1
 
x = 2, -1
 
x = 4
What is the Horizontal Asymptote of the function
 
y = 0
 
x = 0
 
There is none
 
y = -1/3
Where are the holes in the following function?
 
There are none
 
x = 4, -4
 
At the origin
 
Swiss Cheese
Where is the y-intercept of the following graph?
 
At the origin
 
There's a hole there
 
There's an asymptote there
 
On the beach in Tahiti sipping a margarita
What are the x-intercepts of the following function?
 
x = 0, 4, -4
 
x = 0, 16
 
x = 4, -4
 
There are none
Describe the domain of the following function...
 
All reals except x = -2, 3
 
All reals except x = -1, 5
 
All reals except x = -5, 1
 
All reals except x = -3, 2
Find the Horizontal Asymptote of this function...
 
There is none
 
y = -1/4
 
x = -1/4
 
y = 1/4
Where is the y-intercept of this function?
 
y = -8
 
y = 8
 
x = -8
 
x = 8
Where is/are the x-intercept(s) of this function?
 
x = 4
 
x = -1, 4
 
x = -1
 
y = 8
Where is the vertical asymptote of this function?
 
x = 1
 
x = -1
 
x = 1, -1
 
x = 4, -1
What is the domain of this function?
 
All reals except x = 1, -1
 
All real numbers
 
x = 1, -1
 
All reals except x = -4, 1
Find the Horizontal Asymptote
 
y = -2
 
y = 0
 
x = 0 
 
x = -2
The horizontal asymptote will be equal to the ratio of its leading coefficients when
 
when the degrees are the same
 
the degree on the top is bigger
 
the degree on the bottom is bigger
 
98 Degrees was a great band
Evaluating a rational function at zero is the best way to determine where...
 
the y-intercept is
 
the x-intercepts are
 
to go for fresh produce
 
the holes are
Setting the denominator equal to zero and solving will help you find...
 
Holes and Vertical Asymptotes
 
Holes
 
Vertical Asymptotes
 
Horizontal Asymptotes
Setting the numerator equal to zero and solving will help you find...
 
X-Intercepts
 
Y-intercepts
 
Excluded Values
 
Purpose in life
Excluded values resulting from factors that can NOT be canceled will cause...
 
Vertical Asymptotes
 
Holes
 
Horizontal Asymptotes
 
Tsunamis in 3rd World countries
Holes occur when the value of a rational function is...
 
0/0
 
0
 
1/0
 
x/0
Vertical Asymptotes are always written in the form...
 
x = #
 
y = #
 
y = mx + b
 
Chuck Norris
Horizontal Asymptotes are always written in the form....
 
y = #
 
x = #
 
Horizontal whaa?
 
Take the L.
When the numerator's degree is bigger, the Horizontal Asymptote is...
 
There is none
 
Infinity
 
y = 0
 
x = 0
If the denominator's degree is bigger than the numerator's degree, Horizontal Asymptote is...
 
y = 0
 
y = 1
 
There is none
 
x = 0
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