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