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Rational Functions
Rational Functions
12
Mathematics
Undergraduate 2
10/17/2012

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Cards

Term
If top “M” is smaller than bottom “N” then
Definition
you always have an asymptote at Y=0.
Term
Vertical asymptote come from
Definition
denominator
Term
X intercepts come from
Definition
numerator
Term
To solve for Y intercept put F(X) to ...
Definition
0
Term
M>N there is no ___________. Divide numerator by denominator and if there is a _______then throw it away and set answer up to___ which now gives you the slanted asymptote.
Definition
horizontal asymptote, remainder , “Y”
Term
If things can be factored out of the equation then there is a ____. Plug integer from factored out portion of the equation into the now cancelled out equation and solve for ___ .(New equation X+3=m(x) plug integer into “X” and solve. X is the X coordinate and the answer is the Y coordinate.)
Definition
hole, “Y”,
Term
If m
Definition
horizontal asymptote is Y=0
Term
If m=n
Definition
horizontal asymptote Y=A/B
Term
If m>n
Definition
no horizontal asymptote
Term
If m=n and if the denominator divides evenly into the numerator there is a _____
Definition
hole
Term
If the denominator does not divide evenly there is a ___________________-Throw away the denominator and set equal to Y to find the answer to the question
Definition
slanted or oblique asymptote,
Term
Y=1/x (“1” has a power of ___ and the “x” has a power of ____)
Definition
0 X, 1 X
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