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