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Honors Algebra 2 > Final Exam > Flashcards

Final Exam Flashcards

1
Q

Arithmetic sequence

A

a sequence in which the difference of consecutive terms is constant

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2
Q

Asymptote

A

A line that a graph approaches more and more closely

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3
Q

Change of base formula

A

Log base b of A is equal to log base d of A over log base d of B

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4
Q

circle

A

A round plane figure whose boundary consists of points equidistant from a fixed point

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5
Q

Combined Variation

A

Describes a situation where a variable depends on two or more other variables, it varies directly with some and inversely with other

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6
Q

Common difference

A

The constant difference d between consecutive terms of an arithmetic sequence

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7
Q

common logarithm

A

A logarithm with base 10, denoted as log base 10 or simply by Log

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8
Q

common ratio

A

The constant ratio r between consecutive terms of a geometric sequence

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9
Q

completing the square

A

To add a term c to an expression of the form x^2+bx+c is a perfect square trinomial

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10
Q

complex conjugates

A

pairs of complex numbers of the forms a+bi and a-bi, where b is not = to 0

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11
Q

complex fraction

A

A fraction that contains a fraction in its numerator or denominator

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12
Q

complex number

A

A number written in the form a+bi, where a and b are real numbers

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13
Q

composition of functions

A

an operation that can be performed with two functions

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14
Q

compound inequality

A

an inequality that combines two simple inequalities

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15
Q

conic section

A

a figure formed by the intersection of a plane and a right circular cone

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16
Q

consistent

A

If a system has at least one solution it is consistent

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17
Q

constant of variation

A

The constant a in the inverse variation equation y=a/x, where a is not = to 0

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18
Q

continuous relation

A

a function can take on any number within a certain interval

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19
Q

correlation coefficient

A

A number r from -1 to 1 that measures how well a line fits a set of data pairs (x,y)

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20
Q

dependent

A

a

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21
Q

dimensions of a matrix

A

The dimensions of a matrix with m rows and n columns are m X n (read ā€œm by nā€

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22
Q

direct variation

A

describes a simple relationship between two variables

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23
Q

discriminant

A

The expression b^2-4ac in the quadratic formula

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24
Q

Ellipse

A

a plane curve surrounding two focal points, such that all points on the curve,the some of the two distances to the focal points is constant

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25
Q

End behavior

A

The behavior of the graph of a function as x approaches positive infinity or negative infinity

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26
Q

Exponential equation

A

Equations in which variable expressions occur as exponents

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27
Q

Extraneous solution

A

Solutions that are not solutions of the original equation

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28
Q

Extrema

A

The smallest and largest values

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29
Q

Factor Theorem

A

A theorem linking factors and zeros of a polynomial

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30
Q

Finite sequence

A

a list of terms in a specific order, includes a first and a last term

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31
Q

Function

A

a relationship or expression involving one or more variables

32
Q

Geometric sequence

A

a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

33
Q

Greatest integer function

A

Piecewise function whose graph looks like a staircase

34
Q

Growth Factor

A

factor by which a quantity multiplies itself over time

35
Q

Hyperbola

A

Two curves that are mirror images of each other

36
Q

Identity function

A

The function that assigns every real number to the same real number

37
Q

imaginary unit

A

referred to as i, not a real number but can extend numbers to complex numbers

38
Q

inconsistent

A

If a system has no solution

39
Q

independent

A

The output value in an equation

40
Q

infinite sequence

A

A sequence is infinite if it does not have an end to the list

41
Q

interval notation

A

interval notation uses brackets or parenthesis, and goes least to greatest

42
Q

inverse function

A

A function that reverses another function

43
Q

inverse relation

A

set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function

44
Q

inverse variation

A

A relationship between two variables in which the product is a constant

45
Q

joint variation

A

when a variable varies inversely or directly with multiple variables.

46
Q

Latus rectum

A

is the chord through a focus parallel to the conic section directrix

47
Q

Linear programming

A

a linear function is maximized or minimized when subjected to various constraints

48
Q

Logarithm

A

Inverse function to exponentation

49
Q

logistic growth model

A

characterized by increasing growth in the beginning period, but a decreasing growth at a later stage, as you get closer to a maximum

50
Q

matrix

A

arrangement of numbers into rows and columns

51
Q

nth root

A

used n times in multiplication to get to the original value

52
Q

natural logarithm

A

Ln x, used when ā€œeā€ has to be raised to be equal to n

53
Q

negative exponent

A

means how many times to divide by that number

54
Q

Parabola

A

a symmetrical plane curve that forms when a cone intersects with a plane parallel to its side

55
Q

Parent function

A

The simplest function in the family of functions

56
Q

Piece-wise defined function

A

a function defined by multiple sub functions, where each sub function applies to a different interval in the domain

57
Q

Point-slope form

A

y-y sub1 =m(x-xsub1)

58
Q

Quadratic function

A

a polynomial of degree 2, graph is a parabola

59
Q

radicand

A

number of expression inside the radical symbol

60
Q

rate of change

A

used to mathematically describe the percentage change in value over a defined period of time

61
Q

rational exponent

A

exponent that is a fraction

62
Q

rational function

A

any function that can be defined by a rational fraction

63
Q

rationalizing the denominator

A

eliminate any radical expressions in the denominator

64
Q

recursive formula

A

a formula that defines each term of a sequence using preceding terms

65
Q

regression line

A

an estimate of the line that describes the true but unknown linear relationship between the two variables

66
Q

relative maximum

A

a point where the function changes direction from increasing to decreasing

67
Q

relative minimum

A

all the points x, in the domain of the function, such that it is the smallest value for some neighborhood.

68
Q

root

A

when y is equal to 0 on the graph

69
Q

scatter plot

A

type of plot or mathematical diagram using cartesian coordinates to display values for typically two variables for a set of data

70
Q

sequence

A

an enumerated collection of objects in which repetitions are allowed and order matters

71
Q

set-builder notation

A

describes or defines the elements of a set instead of listing the element

72
Q

step function

A

a piecewise function that looks like a staircase

73
Q

synthetic division

A

shortcut method of polynomial division in the special case of dividing by a linear factor

74
Q

vertex form

A

point where two or more curves, lines or edges meet

75
Q

vertical line test

A

visual way to tell if a curve is a function by making sure no points have the same x value

76
Q

zeros

A

the roots on a graph, when y is equal to 0

Honors Algebra 2 (1 decks)

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