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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

logbA=logdA/logdB

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4
Q

circle

A

a round plane figure whos 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, 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 consecutive terms of an arithmetic sequence

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7
Q

Lmk lollll kms on common logarithm

A

a logarithm to the base 10.KimWwwwwwwwwwkwwkwaoiosoowzwooozoo and o lmk
Mmomkmmmmmooooosowo wmmmm mmmm mkmmmmkmmmmmkkkkkkkk eneeeeeeom kkokokookokookoooooookokokookokokoko
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M jd oks. Is

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8
Q

common ratio

A

The constant factor between consecutive terms of a geometric sequence

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9
Q

completing the square

A

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

a fraction in which numerator, denominator, or both are themselves fractions

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12
Q

complex number

A

are the numbers that are expressed in the form of a+ib where, a,b are real numbers and ‘i’ is an imaginary number called “iota”

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13
Q

composition of functions

A

is applying one function to the results of another

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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

at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.

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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 set of data is said to be continuous if the values belonging to the set can take on ANY value within a finite or infinite interval

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19
Q

correlation coefficient

A

a number between −1 and +1 calculated so as to represent the linear dependence of two variables or sets of data.

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20
Q

dependant

A

a system that has infinite numbers of solutions.

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21
Q

dimensions of matrix

A

the number of rows by the number of columns

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22
Q

direct variation

A

describes a simple relationship between two variables

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23
Q

discriminant

A

a parameter of an object or system calculated as an aid to its classification or solution

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24
Q

elipse

A

is a curve that is the locus of all points in the plane the sum of whose distances and from two fixed points and separated by a distance of is a given positive constant (

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25
Q

end behavior

A

looking at the two extremes of x. As x gets closer to infinity and as x gets closer to negative infinity

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26
Q

exponential equation

A

an equation involving exponential functions of a variable.

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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

he maximum or minimum value of a function.

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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

has a limited number of terms and infinite if it does not

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31
Q

function

A

a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

32
Q

geometric sequence

A

A sequence made by multiplying by the same value each time.

33
Q

greatest interger function

A

a function that returns a constant value for each specific interval

34
Q

growth factor

A

the factor by which a quantity multiplies itself over time

35
Q

hyperbole

A

is two curves that are like infinite bows

36
Q

identity function

A

a function which returns the same value, which was used as its argument.

37
Q

imaginary unit

A

A number that when squared gives a negative result.

38
Q

inconsistent

A

When you graph the equations, both equations represent the same line.

39
Q

independant

A

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

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 of writing subsets of the real number line

42
Q

inverse function

A

a function that undoes the action of the another function

43
Q

inverse relation

A

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

44
Q

inverse variation

A

mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant

45
Q

joint variation

A

occurs when a variable varies directly or inversely with multiple variables.

46
Q

latus rectum

A

a chord of a conic section (such as an ellipse) that passes through a focus and is parallel to the directrix.

47
Q

linear programming

A

a mathematical technique for maximizing or minimizing a linear function of several variables, such as output or cost.

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

lagistic growth model

A

a population’s per capita growth rate gets smaller and smaller as population size approaches a maximum imposed by limited resources in the environment, known as the carrying capacity

50
Q

matrix

A

rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns.

51
Q

n root

A

n times in a multiplication to get the original value.

52
Q

natural logarithm

A

logarithm to the base of the mathematical constant e, where e is an irrational and transcendental number approximately equal to 2.718281828459.

53
Q

negative exponent

A

how many times to divide by the number.

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 form of a given family of functions.

56
Q

piece-wise defined function

A

one which is defined not by a single equation, but by two or more.

57
Q

point-slope form

A

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 — compare slope-intercept f

58
Q

quadratic function

A

a polynomial function with one or more variables in which the highest-degree term is of the second degree.

59
Q

radicand

A

The value inside the radical symbol

60
Q

rate of change

A

the speed at which a variable changes over a specific period of time.

61
Q

rational exponent

A

an exponent that is a fraction

62
Q

rational function

A

A function that is the ratio of two polynomials.

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

65
Q

regression line

A

a straight line that describes how a response variable y changes as an explanatory variable x changes.

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

Where a function equals zero.

69
Q

scatter plot

A

a graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.

70
Q

sequence

A

A list of numbers or objects in a special order

71
Q

set-builder notation

A

How to describe a set by saying what properties its members have

72
Q

step function

A

a function that increases or decreases abruptly from one constant value to another.

73
Q

synthetic division

A

a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.

74
Q

vertex form

A

a point where two or more curves, lines, or edges meet.

75
Q

vertical line test

A

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

76
Q

zeros

A

Where a function equals the value zero

Honors Algebra 2 (1 decks)

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