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Algebra 2 > Final > Flashcards

Final Flashcards

1
Q

a sequence of numbers such that the difference between the consecutive terms is constant (list of numbers with a definite pattern)

A

Arithmetic sequence

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2
Q

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

A

Asymtote

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3
Q

logba=logda/logdb (rewrite the log base 2 as a logarithm of any other base)

A

Change of base formula

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4
Q

is a shape consisting of all points in a plane that are at a given distance from a given point

A

Circle

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5
Q

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

A

Combined variation

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6
Q

constant difference between consecutive terms of an arithmetic sequence

A

Common difference

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7
Q

the logarithm with base 10

A

common logarithm

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8
Q

the constant factor between consecutive terms of a geometric sequence

A

common ratio

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9
Q

technique for converting a quadratic polynomial of the form ax^{2}+bx+c to the form a^{2}+k} for some values of h and k

A

Completing the square

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10
Q

the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

A

complex conjugates

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11
Q

a fraction in which the denominator and numerator or both contain fractions.

A

complex fraction

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12
Q

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

A

complex number

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13
Q

an operation that takes two functions f and g and produces a function h such that h(x) = g. ( applying one function to the results of another)

A

composition of fractions

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14
Q

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

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

system of equations in which at least one set of values for the unknowns that satisfies each equation in the system

A

consistent

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17
Q

the constant (unchanged) ratio of two variable quantities

A

constant of variation

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18
Q

a complete range of measurements from one extreme to the other

A

continuous variation

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19
Q

values belonging to the set can take on ANY value within a finite or infinite interval (no interruptions)

A

continuous relation

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20
Q

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

A

correlation coefficient

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21
Q

reliant on another characteristic

A

dependent

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22
Q

the number of rows by the number of columns

A

dimensions of a matrix

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23
Q

describes a simple relationship between two variables

A

direct variation

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24
Q

quantity that depends on the coefficients and determines various properties of the roots

A

discriminant

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25
Q

a plane curve surrounding two focal points

A

ellipse

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26
Q

describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

A

end behavior

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27
Q

equations in which variables occur as exponents.

A

exponential equation

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28
Q

a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.

A

extraneous solution

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29
Q

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

A

extrema

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30
Q

used when factoring polynomials “completely” (theorem linking factors and zeros of a polynomial)

A

factor theorem

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31
Q

a list of terms in a specific order

A

finite sequence

32
Q

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

A

function

33
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

geometric sequence

34
Q

function that returns a constant value for each specific interval

A

greatest integer function

35
Q

the factor by which a quantity multiplies itself over time

A

growth factor

36
Q

a type of smooth curve lying in a plane, defined by its geometric properties

A

hyperbola

37
Q

a function that always returns the same value

A

identity function

38
Q

a solution to the quadratic equation x² + 1 = 0. (i)

A

imaginary unit

39
Q

two or more equations that are impossible to solve based on using one set of values for the variables (system has no solution)

A

inconsistent

40
Q

a quantity that is being manipulated in an experiment

A

independent

41
Q

a sequence that keep on going and going

A

infinite sequence

42
Q

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

A

interval notation

43
Q

a function that “reverses” another function

A

inverse function

44
Q

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

A

inverse relation

45
Q

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

A

inverse variation

46
Q

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

A

joint variation

47
Q

a compound of the Latin latus, meaning “side,” and rectum, meaning “straight.”

A

latus rectum

48
Q

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

A

linear programming

49
Q

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

A

logarithm

50
Q

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

A

logistic growth model

51
Q

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

A

matrix

52
Q

any of the n real or complex numbers r whose nth power is x

A

nth root

53
Q

a number is its logarithm to the base of the mathematical constant e (LN)

A

natural logarithm

54
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

55
Q

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

A

parabola

56
Q

the simplest function of a family of functions that preserves the definition of the entire family

A

parent function

57
Q

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

A

peicewise defined function

58
Q

the general form y-y₁=m(x-x₁) for linear equations

A

point slope form

59
Q

a function of degree two. The graph of the function is a parabola

A

quadratic function

60
Q

the value inside the radical symbol

A

radicand

61
Q

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

A

rate of change

62
Q

an exponent that is a fraction

A

rational exponent

63
Q

any function which can be written as the ratio of two polynomial functions, where the polynomial in the denominator is not equal to zero

A

rational function

64
Q

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

A

rationalizing the denominator

65
Q

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

A

recursive formula

66
Q

represents the relationship between your independent variable and your dependent variable

A

regression line

67
Q

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

A

relative maximum

68
Q

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

A

relative minimum

69
Q

where a function equals zero

A

root

70
Q

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

A

scatter plot

71
Q

a particular order in which related events, movements, or things follow each other

A

sequence

72
Q

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

A

set builder notation

73
Q

a mathematical function of a single real variable that remains constant within each of a series of adjacent intervals but changes in value from one interval to the next

A

step function

74
Q

a simplified method for dividing a polynomial by another polynomial

A

synthetic division

75
Q

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

A

vertex form

76
Q

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

A

vertical line test

77
Q

the points where the graph of the quadratic equation crosses the x-axis

A

zeros

Algebra 2 (1 decks)

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