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Algebra 2 > Flashcards > Flashcards

Flashcards

1
Q

Arithmetic Sequence

A

A sequence in which each term is found by adding the same number to the previous term.

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2
Q

Asymptote

A

A line that the graph approaches but never crosses

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3
Q

Change of base formula

A

A formula that allows you to rewrite a logarithm in terms of logs written with another base.

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4
Q

circle

A

A circle is all the points that are the same distance, r – called the radius.

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5
Q

combined variation

A

where more than two variables are related directly. Combined Variation, which involves a combination of direct or joint variation, and indirect variation

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6
Q

common difference

A

the constant ratio r between consecutive terms of a geometric sequence

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7
Q

common logarithm

A

A logarithmic with base 10

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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 from x2 to bx such that x2+bx +c is a perfect square trinomial

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10
Q

complex conjugations

A

pairs of complex numbers of the form a+bi and a - bi where b is not equal 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

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

is a circle when the x2 and y2 terms have the same sign and equal coefficients

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16
Q

Consistent

A

A system of two linear equations can have one solution, an infinite number of solutions, or no solution. … If a system has at least one solution, it is said to be consistent

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17
Q

Constant of variation

A

The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. In the following equation y varies directly with x, and k is called the constant of variation: y=kx.

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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

measures the strength of the linear association between two quantitative variables.

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20
Q

dependent

A

If the result of one event IS affected by the result of another event, the events are said to be dependent

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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. If a matrix has a rows and b columns, it is an a×b matrix

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22
Q

Direct variation

A

The relationship between two variable quantities that have a constant ratio.

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23
Q

Discriminant

A

a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.

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24
Q

Ellipse

A

A regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points is constant, or resulting when a cone is cut by an oblique plane which does not intersect the base.

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25
Q

End behavior

A

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

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26
Q

Exponential equation

A

an equation in which the variables occur as exponents

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27
Q

Extraneous solution

A

an apparent solution that must be rejected because it does not satisfy the original equation

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28
Q

extrema

A

The maximum and minimum values of a function

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29
Q

factor theorem

A

The binomial x-r is a factor of the polynomial P(x) if and only if P(r)=0

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30
Q

finite sequence

A

A sequence with a last term

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31
Q

function

A

A relationship from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range.

32
Q

geometric sequence

A

a sequence in which each term is found by multiplying the previous term by the same number

33
Q

greatest integer function

A

A step function, written as f(x)=[[x]], where f(x) is the greatest integer less than or equal to x.

34
Q

growth factor

A

Growth factor is the factor by which a quantity multiplies itself over time. Growth rate is the addend by which a quantity increases

35
Q

Hyperbola

A

The set of all points in the plane such that the absolute value of the difference of the distances from two given points in the plane, called foci, is constant.

36
Q

identify function

A

The function y=x

37
Q

imaginary unit

A

i, or the principal square root of -1

38
Q

inconsistent

A

not consistent; not in agreement

39
Q

independent

A

The experimental factor that is manipulated; the variable whose effect is being studied.

40
Q

infinite sequence

A

a sequence that continues without end

41
Q

interval notation

A

an expression that uses inequalities to describe subsets of real numbers

42
Q

inverse function

A

two functions f and g are inverse functions if and only if both of their compositions are the identity function

43
Q

inverse relation

A

a relationship in which one variable decreases when another variable increases

44
Q

Inverse variation

A

y=k/x

45
Q

joint variation

A

y varies jointly as x and z if there is some nonzero constant k such that y=kxz

46
Q

Latus rectum

A

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

47
Q

linear programming

A

the process of finding the maximum or minimum values of a function for a region defined by inequalities

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

a growth model that describes a population whose growth is initially exponential, but slows as the population approaches the carrying capacity of the environment

50
Q

matrix

A

In mathematics, a matrix (plural matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

51
Q

nth root

A

The number that must be multiplied times itself n times to equal a given value.

52
Q

natural logarithm

A

a logarithm with base e

53
Q

negative exponent

A

an exponent less than zero which causes the base and its exponent to move positions in a fraction

54
Q

parabola

A

the graph of a quadratic function

55
Q

parent function

A

the most basic function in a family of functions

56
Q

Piece wise defined function

A

a function that is written using two or more expressions

57
Q

point slope from

A

The point slope form equation is: y - y1 = m * (x - x1) , where: x1 , y1 are the coordinates of a point, and. m is the slope.

58
Q

quadratic function

A

A function in which the greatest power of the variable is 2.

59
Q

Radicand

A

the number under the radical sign

60
Q

rate of change

A

A ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable.

61
Q

rational exponent

A

represents both an integer exponent and an nth root

62
Q

rational function

A

a function whose rule can be written as a rational expression

63
Q

Rationalizing the denominator

A

to eliminate radicals from a denominator or fractions from a radicand

64
Q

Recursive formula

A

each term is formulated from one or more previous terms

65
Q

regressive line

A

A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables

66
Q

relative maximum

A

A relative maximum is a point that is higher than the points directly beside it on both sides, and a relative minimum is a point that is lower than the points directly beside it on both sides.

67
Q

relative minimum

A

A relative minimum of a function is all the points x, in the domain of the function, such that it is the smallest value for some neighborhood

68
Q

root

A

a solution to an equation

69
Q

scatter plot

A

A graph of plotted points that show the relationship between two sets of data that do not depend on each other where the line is not connected. (Ex. height versus weight)

70
Q

sequence

A

In mathematics, a sequence. A sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function. Sequences can be both finite and infinite.

71
Q

set builder notation

A

a concise way of writing a solution set

72
Q

step function

A

a function whose graph is a series of line segments

73
Q

synthetic division

A

a method used to divide a polynomial by a binomial

74
Q

vertex form

A

y=a(x-h)^2+k

75
Q

vertical line test

A

a visual way to determine if a curve is a graph of a function or not.

76
Q

zeros

A

the values of x that make a quadratic equation equal zero

Algebra 2 (1 decks)

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