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honors algebra 2 > final > Flashcards

final Flashcards

1
Q

arithmetic sequence

A

a sequence in which the difference if consecutive terms is constant

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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

A formula that allows you to rewrite a logarithm in terms of logs written with another base. This is especially helpful when using a calculator to evaluate a log to any base other than 10 or e.

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4
Q

circle

A

Circle helps businesses and developers harness the power of digital dollar stablecoins for payments and internet commerce worldwide.

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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 (when the rest of the variables are held constant).

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6
Q

common difference

A

The constant difference between consecutive terms of an arithmetic sequence is called the common difference

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7
Q

common logarithm

A

Log[10, x] and Log10[x].

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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

be defined as a fraction in which the denominator and numerator or both contain fractions

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12
Q

complex number

A

a complex number is 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, and satisfying the equation i2 = −1.

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13
Q

composition of function

A

applying one function to the results of another. (g º f)(x) = g(f(x)), first apply f(), then apply g() We must also respect the domain of the first

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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.” “And” indicates that both statements of the compound sentence are true at the same time.

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15
Q

conic section

A

a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse

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16
Q

consistent

A

inear or nonlinear system of equations

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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 partial function that is continuous on its domain is continuous as a relation iff its domain is closed.

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19
Q

correlation coeifficent

A

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

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20
Q

dependent

A

variable is the one that depends on the value of some other number. If, say, y = x+3, then the value y can have depends on what the value of x is.

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21
Q

dimensions of a matrix

A

are 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

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

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24
Q

ellipse

A

is the set of points in a plane such that the sum of the distances from two fixed points in that plane stays constant

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25
Q

end behavior

A

a function f describes the behavior of the graph of the function at the “ends” of the x-axis.

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26
Q

exponential equation

A

are in the form ax=by

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27
Q

extraneous solution

A

extraneous solution

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28
Q

extrema

A

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

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29
Q

factor theorem

A

used when factoring polynomials “completely

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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, the domain of the function

32
Q

geometric sequence

A

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.

33
Q

greatest integer function

A

a constant value for each specific interval.

34
Q

growth factor

A

Growth rate is the addend by which a quantity increases (or decreases) over time.

35
Q

hyperbola

A

two curves that are like infinite bows

36
Q

identity function

A

the equality f(x) = x holds for all x.

37
Q

imaginary unit

A

(i)

38
Q

inconsistent

A

two or more equations that are impossible to solve based on using one set of values for the variables, x+2=4 and x+2=6.

39
Q

independent

A

a quantity that is being manipulated in an experiment. x is often the variable used to represent the independent variable in an equation.

40
Q

infinite sequence

A

paired off one-to-one with the set of positive integer s {1, 2, 3, …}.

41
Q

interval notation

A

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

42
Q

inverse function

A

The inverse is usually shown by putting a little “-1” after the function name, like this: f-1(y)

43
Q

inverse relation

A

the inverse relation of a binary relation is 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

as x and y if. z=kxy. for some constant k.

46
Q

latus rectum

A

of a conic section is the chord through a focus parallel to the conic section directrix (Coxeter 1969).

47
Q

linear programming

A

is a method to achieve the best outcome (such as maximum profit or lowest cost

48
Q

logarithms

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, called the carrying capacity

50
Q

matrix

A

a rectangular array of numbers

51
Q

nth root

A

a number x is a number r which, when raised to the power n, yields x: where n is a positive integer, sometimes called the degree of the root

52
Q

natural logarithm

A

ln x, loge x, or sometimes, if the base e is implicit, simply log x.

53
Q

negative exponent

A

just 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 parabola is a curve where any point is at an equal distance from:

55
Q

parent function

A

A parent function is the simplest function of a family of functions.

56
Q

piece-wise defined function

A

A piecewise-defined function is one which is defined not by a single equation, but by two or more.

57
Q

point-slope form

A

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

58
Q

quadratic function

A

The general form of a quadratic function is f(x)=ax2+bx+c where a, b, and c are real numbers and a≠0.

59
Q

radicand

A

The value inside the radical symbol. The value you want to take the root of.

60
Q

rate of change

A

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

61
Q

rational exponent

A

exponent that is a fraction

62
Q

rational function

A

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

63
Q

rationalizing the denominator

A

means 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

is represented by an equation

66
Q

relative maximum

A

point is a point where the function changes direction from increasing to decreasing

67
Q

relative minimum

A

the very bottom of the line before it starts to go up again

68
Q

root

A

Where a function equals zero

69
Q

scatter plot

A

is a two-dimensional graphical representation of a set of data.

70
Q

sequence

A

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, … is a sequence starting at 3 and increasing…

71
Q

set-builder notation

A

How to describe a set by saying what properties its members have. … A Set is a collection of things (usually numbers).

72
Q

step function

A

have lines with an open circle on one end and a closed circle on the other to indicate inclusion, like number line inequality graphs.

73
Q

synthetic division

A

a shorthand, or shortcut, method of polynomial division in the special case of dividing by a linear factor

74
Q

vertex form

A

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

75
Q

vertical line test

A

a thing to make sure the graph is linear

76
Q

zeros

A

Where a function equals the value zero (0).

honors algebra 2 (1 decks)

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