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2-Precalculus:Homework:2.9:Notes
2-Precalculus:Homework:2.9:Notes
14
Mathematics
Undergraduate 1
02/19/2016

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Term
How do you find the solution to this problem?
(f^-1 of f)(A)
If the function is One to One
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Definition
1.) A
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Term
How do you find the solution to this problem?
f(x)=x
if f(A)
Definition
1.)A
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Term
How do you find the solution to this problem?
If f(A)=B
Then f^-1(B)
Equals What?
Definition
1.)A
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Term
If f(x)=Ax-B,
Then what is the Inverse?
Definition
1.) (x+B)/A
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Term
Why is (x+B)/A the Inverse of
f(x)=Ax-B?
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Definition
1.)Because
(f^-1 of f)(x)=x
and
(f of f^-1)(x)=x
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Term
What is y=x symmetry?
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Definition
Symmetry that reflects across a positive diagonal line that crosses through the origin.
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Term
What kind of symmetry does a function and it's inverse functions have?
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Definition
y=x
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Term
If A(B)=B+C,
what is the inverse function?
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Definition
1.) B(A)=A-C
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Term
What does this function represent?
U(C)=C-A
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Definition
The relationship between an uncurved grade, and a curved grade.
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Term
This is the function used for curved grades:
C(U)=U+A
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What is the inverse of this function?
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Definition
U(C)=C-A
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Term
How do you find the uncurved grade, corresponding to the curved grade of "B"?
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Definition
1.)Here is the function that helps you find the uncurved grade, corresponding to a curved grade:
U(C)=C-A
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2.)Replace "C" with "B", and Solve
B-A
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Term
How do you find the curved grade, corresponding to the uncurved grade of "B"?
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Definition
1.)Here is the function that helps you find the curved grade, corresponding to an uncurved grade:
C(U)=C+A
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2.)Replace "C" with "B", and Solve
B+A
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Term
Is this function one to one?
f(x)=The Cuberoot of (x+A)
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Definition
1.) Yes
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Term
What is the inverse of the following function?
f(x)=The Cuberoot of (x+A)
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Definition
1.) f^-1(x)=(x^3)-A
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