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What is the domain of this function?
f(x)=((A-x)/(x+B))
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Definition
(-Infinity,-B) Union (-B,Infinity)
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Term
What is the domain of this function?
f(x)=((x-A)/((x^2)+B))
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Definition
(-Infinity,Infinity)
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Term
What is the domain of the given rational function?
f(x)=((Ax)/((x^2)-(Bx)+C)
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Definition
1.)Use the quadratic formula to find
D=The Lowest Factor
E=The Greatest Factor
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2.)The Domain is:
(-Infinity,D)U(D,E)U(E,Infinity)
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Term
How do you factor this?
((x^2)-(Ax)+B)
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Definition
Use the quadratic formula
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Term
How do you complete the following statement?
(As x -> (A^+)), f(x) -> _____.
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Definition
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Term
How do you complete the following statement?
As x -> Infinity, f(x) -> ___.
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Definition
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Term
What are the vertical asymptotes?
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Definition
X-value of Vertical Border= A
X-value of Vertical Border= B
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The solution is:
x=A,x=B
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Term
How do you find the vertical asymptotes of the graph of this rational function?
f(x)=((x)/(x-A))
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Definition
x=A is the only vertical asymptote
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Term
How do you find the vertical asymptotes of the graph of this rational function?
f(x)=((x)/(x+A))
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Definition
x=-A is the only vertical asymptote
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Term
How do you find the vertical asymptotes of the graph of this rational function?
f(x)=((x+A)(Bx-B))/((x-C)(x+D))
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Definition
The vertical asymptotes are
x=C and x=-D
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Term
Find the horizontal asymptote of this function?
f(x)=((Ax)/((Bx^2)+C)
and also this function....
f(x)=((A)/(x-B))
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Definition
The horizontal asymptote of this function is y=0
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Term
If the degree of the numerator is less than the degree of the denominator?
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Definition
The horizontal asymptote is the x-axis.
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Term
If the degree of the numerator is greater than the degree of the denominator?
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Definition
There are no horizontal asymptotes.
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Term
How do you find the horizontal asymptote of this rational function?
f(x)=((-Ax+B)/(Cx+D))
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Definition
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Term
What is the horizontal asymptote if the degree of the numerator is equal to the degree in the denominator?
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Definition
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Term
What is the x-intercept of this function?
f(x)=((x+A)/(x-B))
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Definition
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Term
What is the y-intercept of this function?
f(x)=((x+A)/(x-B))
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Definition
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Term
How do you tell what graph matches a function of this form?
f(x)=((x+A)/(x-B))
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Definition
When the graph has the correct x-intercept and y-intercept.
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Term
How do you shift this graph horizontally?
f(x)=((A)/(x-B))
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Definition
Shift it horizontally "B" units to the right.
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Term
What is the domain of this function?
f(x)=((A-x)/(x-B))
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Definition
(-Infinity,B) Union (B,Infinity)
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Term
What is the domain of this function?
f(x)=((A)/(x-B))
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Definition
(-Infinity,B) Union (B,Infinity)
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Term
What is the domain of this function?
f(x)=((A)/(x+B))
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Definition
(-Infinity,-B) Union (-B,Infinity)
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Term
What is the range of this function?
f(x)=((A)/(x+B))
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Definition
(-Infinity,0) Union (0,Infinity)
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