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