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Algebra II > Final Vocab > Flashcards

Final Vocab Flashcards

1
Q

a sequence in which the difference of consecutive terms is constant

A

arithmetic sequence

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2
Q

a line that a graph approaches more and more closely

A

asymptote

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3
Q

log c a = log b a/log b c

A

change of base

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4
Q

a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).

A

circle

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5
Q

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 (when the rest of the variables are held constant)

A

combined variation

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6
Q

the constant difference d between consecutive terms of an arithmetic sequence

A

common difference

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7
Q

a log with a base 10, denoted as log10 or simply by log

A

common log

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8
Q

the constant ratio r between consecutive terms of a geometric sequence

A

common ratio

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9
Q

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

A

completing the square

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10
Q

pairs of complex numbers of the forms a + bi and a-bi where b isn’t 0

A

complex conjugate

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11
Q

a fraction that contains a fraction in it’s denominator or numerator

A

complex fraction

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12
Q

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

A

complex number

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13
Q

an operation that can be preformed with to functions

A

composition of functions

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14
Q

a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time

A

compound inequality

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15
Q

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

A

conic section

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16
Q

unchanging in nature, standard, or effect over time

A

constant

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17
Q

the constant a in the inverse variation equation y=a/x where a isn’t 0

A

constant of variation

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18
Q

all reals

A

continuous relation

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19
Q

a number r from -1 to 1 that measures how well a line fits a set of data pair

A

correlation coefficient

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20
Q

the one that depends on the value of some other number

A

dependent

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21
Q

the dimensions of a matrix with m rows and n columns are m by n

A

dimensions of a matrix

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22
Q

describes a simple relationship between two variables

A

direct variation

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23
Q

the expression b^2 - 4ac in the Quadratic formula

A

discriminant

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24
Q

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

A

ellipse

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25
Q

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

A

end behavior

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26
Q

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

A

exponential equation

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27
Q

solution that are not solutions of the original equation

A

extraneous solution

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28
Q

any point at which the value of a function is largest (a maximum) or smallest (a minimum)

A

extrema

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29
Q

factoring polynomials “completely”

A

factor theorem

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30
Q

a list of terms in a specific order, following a sequence

A

finite sequence

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31
Q

a binary relation between two sets that associates to each element of the first set exactly one element of the second set.

A

function

32
Q

a sequence in which the ratio of any term to the previous term is constant

A

geometric sequence

33
Q

a function that returns a constant value for each specific interval

A

greatest integer function

34
Q

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

A

growth sequence

35
Q

an open curve with two branches, the intersection of a plane with both halves of a double cone

A

hyperbola

36
Q

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

A

identity function

37
Q

i

A

imaginary unit

38
Q

no solution

A

inconsistent

39
Q

variable that represents a quantity that is being manipulated in an experiment

A

independent

40
Q

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

A

infinite sequence

41
Q

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

A

interval notation

42
Q

functions that undo each other

A

inverse function

43
Q

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

A

inverse relation

44
Q

x and y when y=a/x

A

inverse variation

45
Q

one variable depends on two (or more) other variables, and varies directly as each of them when the others are held constant

A

joint variation

46
Q

the chord through the focus, and parallel to the directrix

A

latus rectum

47
Q

a method to achieve the best outcome in a mathematical model whose requirements are represented by linear relationships.

A

linear programming

48
Q

the inverse function to exponentiation

A

logarithm

49
Q

a common s shaped curve in a log model

A

logistic growth model

50
Q

a rectangular arrangement of numbers

A

matrix

51
Q

for an integer h greater than 1 if b^n =a then b is the nth root of a

A

nth root

52
Q

a log with base e denoted by log e or ln

A

natural log

53
Q

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

A

negative exponent

54
Q

the graph of a quadratic function

A

parabola

55
Q

the most basic function in a group of functions

A

parent function

56
Q

a function defined by two or more functions

A

piece-wise defined function

57
Q

the equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line

A

point slope form

58
Q

a function that can be written in the form f(x)= a(x-h)^2+k

A

quadratic function

59
Q

The value inside the radical symbol

A

radicand

60
Q

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

A

rate of change

61
Q

the power to which the radicand is raised becomes the numerator and the root becomes the denominator

A

rational exponent

62
Q

a function that contains radical expression with the independent variable in the radicand

A

rational function

63
Q

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

A

rationalizing the denominator

64
Q

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

A

recursive formula

65
Q

a line that best describes the behavior of a set of data

A

regression line

66
Q

a point that is higher than the points directly beside it on both sides

A

relative maximum

67
Q

a point that is lower than the points directly beside it on both sides

A

relative minimum

68
Q

a solution of an equation

A

root

69
Q

a set of data graphed as an ordered pairs in a coordinate

A

scatter plot

70
Q

an ordered list of numbers

A

sequence

71
Q

uses symbols to define a set, in terms of properties of the members of the set

A

set builder notation

72
Q

a piece-wise function defined by a constant value over each part of its domain

A

step function

73
Q

a shortcut method to divide a polynomial by a binomial

A

synthetic division

74
Q

a quadratic function written in the form f(x)=a(x-h)^2+k

A

vertex form

75
Q

a method that is used to determine whether a given relation is a function or not

A

vertical line test

76
Q

any x-value of a function of f for which f(x)=0

A

zeros

Algebra II (1 decks)

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