Polynomials (Chapter 1 Review)

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What defines a polynomial?

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28 Terms

1

What defines a polynomial?

A non-negative integer of a variable.

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2

Which degrees are odd?

1,3,5,7…

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3

Which degrees are even?

2,4,6,8…

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4

What is the equation used to determine if a function is even?

F(x)=f(-x)

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5

What is the equation used to determine if a function is odd?

F(x)=-f(x)

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6

What does the sign of the leading coefficient effect?

End behaviour.

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7

What is the end behaviour of an odd function with a positive leading coefficient?

Q3-Q1

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8

What is the end behaviour of an odd function with a negative leading coefficient?

Q2-Q4

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9

What is the end behaviour of an even function with a positive leading coefficient?

Q2-Q1

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10

What is the end behaviour of an even function with a negative leading coefficient?

Q3-Q4

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11

What is the domain and range of a odd function?

X=elements of the reals, Y=elements of the reals

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12

What is the domain and range of an even function.

X=element of the reals, Y=element of the reals | y>0

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13

What type of symmetry do even functions typically have?

Line symmetry

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14

What type of symmetry do odd functions typically have?

Point symmetry.

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15

What is the equation to find finite difference?

A(n!)

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16

What number determines which difference will be constant?

The degree.

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17

How do you calculate instantaneous rate of change?

By using a slope of a tangent.

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18

How do you determine the average rate of change?

By using the slope of a secant.

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19

What transformation occurs if a>1?

A vertical stretch.

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20

What transformation occurs if 0<a<1?

A vertical compression.

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21

What transformation occurs if a<0?

A reflection across the x-axis.

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22

What transformation occurs if k>1?

A horizontal compression.

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23

What transformation occurs if 0<k<1?

A horizontal stretch.

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24

What transformation occurs if k<0?

A reflection across the y-axis.

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25

What transformation occurs if d is negative?

A shift right,

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26

What transformation occurs if d is positive?

A shift left.

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27

What transformation occurs if c is negative?

A shift down.

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28

What transformation occurs if c is positive?

A shift up.

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