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2-Precalculus:Homework:2.7 and 2.8:Notes
2-Precalculus:Homework:2.7 and 2.8:Notes
32
Mathematics
Undergraduate 1
02/17/2016

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Term
How do you shift this function "A" units right?
y=f(x)
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Definition
y=f(x-A)
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Term
How do you shift this function "A" units left?
y=f(x)
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Definition
y=f(x+A)
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Term
How do you shift this function "A" units right?
y=f(x^2)
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Definition
y=f(x-A)^2
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Term
How do you shift this function "A" units left?
y=f(x^2)
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Definition
y=f(x+A)^2
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Term
How do you shift this function "A" units Up?
y=f(x)
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Definition
y=f(x)+A
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Term
How do you shift this function "A" units Down?
y=f(x)
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Definition
y=f(x)-A
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Term
How do you reflect this function over the x-axis?
y=f(x)
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Definition
y=f-(x)
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Term
What type of graph does this function generate?
(x^2)
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Definition
Parabola
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Term
When graphing a function always start where?
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Definition
At the origin
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Term
In what order do you apply transformations to a graph?
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Definition
1.)Horizontal Shifts
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2.)Stretching or Shrinking
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3.)Reflecting
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4.)Vertical Shifting
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Term
How do you compress this function "A" units?
y=f(x)
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Definition
y=f(A)(x)
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Making it thinner
Term
How do you stretch this function "A/B" units right?
y=f(x)
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Definition
y=f(A/B)(x)
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Making it wider
Term
What shape is this function?
(x^3)
Definition
Booty Curve
Term
What function do you multiply by to make this function Ax+B equal this function |Ax+B|?
Definition
|x|
Term
What is the first term of the composite function f*g?
f(x)=Ax+B
g(x)=(x^2)-C
Definition
(Ax^2)
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Term
How do you find (f*f)(A)?
f(x)=Bx-C
Definition
1.)Complete this problem
B(A)-C
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2.)Set the solution of the previous problem as the variable "D".
B(A)-C=D
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3.)Now complete this problem
B(D)-C
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Term
Let f(x)=Ax+B and let g(x)=(Cx^2)-D,
How do you evaluate (f*g)(E)?
Definition
1.)Complete this problem:
((C)*(E^2))-D
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2.)Set the Solution of this problem as the variable "F"
((C)*(E^2))-D=F
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3.)Solve this problem:
A(F)+B
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Term
How do you solve a problem of this form?
(f+g)(A)=f(A)+g(A)
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f(x)=(1/(Squareroot of x+B))
g(x)=(Cx+D)
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Definition
1.)Solve this problem:
(1/(Squareroot of A+B))+((C*A)+D)
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Term
How do you solve a problem of this form?
(f-g)(A)=f(A)-g(A)
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f(x)=(1/(Squareroot of x+B))
g(x)=(Cx+D)
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Definition
1.)Solve this problem:
(1/(Squareroot of A+B))-((C*A)+D)
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Term
How do you solve a problem of this form?
(f-g)(A)=f(A)*g(A)
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f(x)=(1/(Squareroot of x+B))
g(x)=(Cx+D)
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Definition
1.)Solve this problem:
(1/(Squareroot of A+B))*((C*A)+D)
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Term
How do you solve a problem of this form?
(f-g)(A)=f(A)/g(A)
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f(x)=(1/(Squareroot of x+B))
g(x)=(Cx+D)
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Definition
1.)Solve this problem:
(1/(Squareroot of A+B))/((C*A)+D)
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Term
How do you simplify a problem in this form?
((1/Squareroot A)/B)
Definition
(1/(B*(Squareroot of A))
Term
How do you solve a problem of this form?
(f+g)(A)=f(A)+g(A)
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f(x)=(B/(x+C))
g(x)=(x/(x+C))
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Definition
((B+x)/(x+c))
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Term
What is the domain of a problem of this form?
(f+g)(A)=f(A)+g(A)
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f(x)=(B/(x+C))
g(x)=(x/(x+C))
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Definition
(-Infinity,-C) Union (-C,Infinity)
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Term
How do you solve a problem of this form?
(f-g)(A)=f(A)-g(A)
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f(x)=(B/(x+C))
g(x)=(x/(x+C))
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Definition
((B-x)/(x+c))
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Term
What is the domain of a problem of this form?
(f-g)(A)=f(A)-g(A)
-----
f(x)=(B/(x+C))
g(x)=(x/(x+C))
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Definition
(-Infinity,-C) Union (-C,Infinity)
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Term
How do you solve a problem of this form?
(f*g)(A)=f(A)*g(A)
-----
f(x)=(B/(x+C))
g(x)=(x/(x+C))
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Definition
((Bx)/((x+c)^2))
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Term
What is the domain of a problem of this form?
(f*g)(A)=f(A)*g(A)
-----
f(x)=(B/(x+C))
g(x)=(x/(x+C))
----
Definition
(-Infinity,-C) Union (-C,Infinity)
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Term
How do you solve a problem of this form?
(f/g)(A)=f(A)/g(A)
-----
f(x)=(B/(x+C))
g(x)=(x/(x+C))
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Definition
(B/x)
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Term
What is the domain of a problem of this form?
(f/g)(A)=f(A)/g(A)
-----
f(x)=(B/(x+C))
g(x)=(x/(x+C))
----
Definition
(-Infinity,-C) Union (-C,0)
Union (0,Infinity)
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Term
How do you solve a problem of this form?
(g/f)(A)=g(A)/f(A)
-----
f(x)=(B/(x+C))
g(x)=(x/(x+C))
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Definition
(x/B)
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Term
What is the domain of a problem of this form?
(g/f)(A)=g(A)/f(A)
-----
f(x)=(B/(x+C))
g(x)=(x/(x+C))
----
Definition
(-Infinity,-C) Union (-C,Infinity)
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