Polynomials (Chapter 1 Review)

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Pre-Calculus

Advancedfunctions

Polynomials

12th

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28 Terms

1
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What defines a polynomial?
A non-negative integer of a variable.
2
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Which degrees are odd?
1,3,5,7…
3
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Which degrees are even?
2,4,6,8…
4
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What is the equation used to determine if a function is even?
F(x)=f(-x)
5
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What is the equation used to determine if a function is odd?
F(x)=-f(x)
6
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What does the sign of the leading coefficient effect?
End behaviour.
7
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What is the end behaviour of an odd function with a positive leading coefficient?
Q3-Q1
8
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What is the end behaviour of an odd function with a negative leading coefficient?
Q2-Q4
9
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What is the end behaviour of an even function with a positive leading coefficient?
Q2-Q1
10
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What is the end behaviour of an even function with a negative leading coefficient?
Q3-Q4
11
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What is the domain and range of a odd function?
X=elements of the reals, Y=elements of the reals
12
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What is the domain and range of an even function.
X=element of the reals, Y=element of the reals | y>0
13
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What type of symmetry do even functions typically have?
Line symmetry
14
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What type of symmetry do odd functions typically have?
Point symmetry.
15
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What is the equation to find finite difference?
A(n!)
16
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What number determines which difference will be constant?
The degree.
17
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How do you calculate instantaneous rate of change?
By using a slope of a tangent.
18
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How do you determine the average rate of change?
By using the slope of a secant.
19
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What transformation occurs if a>1?
A vertical stretch.
20
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What transformation occurs if 0
A vertical compression.
21
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What transformation occurs if a
A reflection across the x-axis.
22
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What transformation occurs if k>1?
A horizontal compression.
23
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What transformation occurs if 0
A horizontal stretch.
24
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What transformation occurs if k
A reflection across the y-axis.
25
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What transformation occurs if d is negative?
A shift right,
26
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What transformation occurs if d is positive?
A shift left.
27
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What transformation occurs if c is negative?
A shift down.
28
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What transformation occurs if c is positive?
A shift up.