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honors algebra 2 > spring finals review > Flashcards

spring finals review Flashcards

1
Q

arithmetic sequence

A

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

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2
Q

asymptote

A

a line that continually approaches a given curve but does not meet it at any finite distance.

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3
Q

change of base formula

A

logb(a)=logx(a)/logx)a)

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4
Q

circle

A

a round plane figure

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5
Q

combined variation

A

describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them and varies inversely with others

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6
Q

common difference

A

the constant difference between consecutiveterms of an arithmetic sequence

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7
Q

common logarithim

A

a logorithim eith aa base of 10

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8
Q

common ratio

A

the constant ratio between consecutive terms of a geometric sequence

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9
Q

completing the square

A

method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial

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10
Q

complex conjugates

A

Each of two complex numbers having their real parts identical and their imaginary parts of equal magnitude but opposite sign

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11
Q

complex fraction

A

fraction in which the denominator and numerator or both contain fractions

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12
Q

complex number

A

a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol called the imaginary unit,

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13
Q

composition of function

A

an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)

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14
Q

compound inequality

A

a sentence with two inequality statements joined either by the word “or” or by the word “and.”

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15
Q

conic section

A

a curve obtained as the intersection of the surface of a cone with a plane.

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16
Q

consistent

A

unchanging in nature, standard, or effect over time

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17
Q

constant of variation

A

a direct variation is the constant (unchanged) ratio of two variable quantities

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18
Q

continuous relation

A

a function that can take on any number within a certain interval

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19
Q

correlation coefficient

A

are used to measure how strong a relationship is between two variables

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20
Q

dependent

A

contingent on or determined by.

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21
Q

dimensions of a matrix

A

The dimensions of a matrix are the number of rows by the number of columns

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22
Q

direct variation

A

Direct variation describes a simple relationship between two variables

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23
Q

discriminant

A

part of the quadratic formula underneath the square root symbol: b²-4ac

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24
Q

ellipse

A

the set of all points on a plane whose distance from two fixed points F and G add up to a constant

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25
Q

end behavior

A

describes the trend of the graph if we look to the right end of the x x xx-axis

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26
Q

exponential equation

A

a function of the form

where b is a positive real number, and the argument x occurs as an exponent

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27
Q

extraneous solution

A

a root of a transformed equation that is not a root of the original equation

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28
Q

extrema

A

the maximum or minimum value of a function

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29
Q

factor theorem

A

used when factoring polynomials

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30
Q

finite sequence

A

a list of terms in a specific order

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31
Q

function

A

a process or a relation that associates each element x of a set X

32
Q

geometric sequence

A

a sequence of non-zero numbers where each term after the first is found by multiplying the previous

33
Q

greatest integer function

A

a function that returns a constant value for each specific interval

34
Q

growth factor

A

A constant factor can be obtained by dividing each successive y-value by the previous y-value

35
Q

hyperbola

A

the intersection of a plane with two equal cones on opposites of the same vertex

36
Q

identity function

A

a function that always returns the same value that was used as its argument

37
Q

imaginary unit

A

represented by i

38
Q

inconsistent

A

not repeating

39
Q

independent

A

apart from other things

40
Q

infinite sequence

A

a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integer

41
Q

interval notation

A

a way to describe continuous sets of real numbers by the numbers that bound them

42
Q

inverse function

A

find an inverse by reversing the “flow diagram”

43
Q

inverse relation

A

the relation that occurs when the order of the elements is switched in the relation

44
Q

inverse variation

A

can be represented by the equation xy=k or y=kx

45
Q

joint variation

A

a situation where one variable depends on two (or more) other variables

46
Q

latus rectum

A

the chord through a focus parallel to the conic section directrix

47
Q

linear programming

A

a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.

48
Q

logarithm

A

a quantity representing the power to which a fixed number (the base) must be raised to produce a given number

49
Q

logistic growth model

A

is approximately exponential at first, but it has a reduced rate of growth as the output approaches the model’s upper bound

50
Q

matrix

A

a rectangular array of numbers

51
Q

nth root

A

s a number r which, when raised to the power n, yields x: where n is a positive integer

52
Q

natural logarithm

A

its logarithm to the base of the mathematical constant e

53
Q

negative exponent

A

means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side

54
Q

parabola

A

a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side

55
Q

parent function

A

the simplest function that still satisfies the definition of a certain type of function

56
Q

piece wise defined

A

a function defined by multiple sub-functions, where each sub-function applies to a different interval

57
Q

point slope form

A

is derived from the concept of finding the slope of a line when two points are given

58
Q

quadratic function

A

The general form of a quadratic function is f(x)=ax2+bx+c

59
Q

radicand

A

The number or expression that is written under a radical sign

60
Q

rate of change

A

a rate that describes how one quantity changes in relation to another quantity

61
Q

rational exponent

A

an exponent that is a fraction

62
Q

rational function

A

any function which can be written as the ratio of two polynomial functions

63
Q

rationalizing the denominator

A

to eliminate any radical expressions in the denominator such as square roots and cube roots

64
Q

recursive formula

A

a formula that defines each term of a sequence using preceding term(s)

65
Q

regression line

A

line of best fit

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 neighborhoo

68
Q

root

A

Where a function equals zero

69
Q

scatter plot

A

graph of dots

70
Q

sequence

A

a repetition

71
Q

set builder notation

A

used to describe sets that are defined by a predicate

72
Q

step function

A

a function on the real numbers

73
Q

synthetic division

A

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

74
Q

vertex form

A

y = a(x – h)2 + k, where (h, k) is the vertex

75
Q

verticle line test

A

used to test if something is a function

76
Q

zeros

A

intercepts

honors algebra 2 (1 decks)

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