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Algebra II > Terms > Flashcards

Terms 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

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

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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 d between consecutive terms of an arithmetic sequence.

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7
Q

Common Logarithm

A

A logarithm with base 10, denoted as log10 or simple by log.

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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 form x squared + bx such that x2 +bx +c is a perfect square trinomia

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10
Q

Complex Conjugates

A

Paris of complex numbers of the forms a +bi and a -bi where b =/ 0

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11
Q

Complex Fraction

A

A fraction that contains a fraction in its numberator 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 fucions

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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

a linear or nonlinear system of equations

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17
Q

Constant of Variation

A

The constant a in the inverse variation equation y=a/x where a=/ 0

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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 Ceofficient

A

A number r from -1 to 1 that measure how well a line fits a set of data pairs.

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20
Q

Dependent

A

The dependent variable is the one that depends on the value of some other number.

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21
Q

Dimensions of a Matrix

A

The dimension of a matrix with m rows and n columns are m x n.

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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 expression b2 - 4ac in the Quadratic Formula

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24
Q

Ellipse

A

is 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.

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25
Q

End Behavior

A

The behaior of the rapf of a function as x approaches positive infinity or negative infinity

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26
Q

Exponential Equation

A

Equations in which variable expressio occur as expoents.

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27
Q

Extraneous Solution

A

Solutions that are not solutions of the orifinal eqation

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28
Q

Extrema

A

In mathematical analysis, the maxima and minima 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

is a list of terms in a specific order.

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31
Q

Function

A

a relationship or expression involving one or more variables.

32
Q

Geometric Sequence

A

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

33
Q

Greatest interger function

A

The function rounds -off the real number down to the integer less than the number.

34
Q

Growth Factor

A

The value of b in an exponential growth function of the form y=ab^x where a>0 and b>1

35
Q

Hyperbola

A

a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.

36
Q

Identity Function

A

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

37
Q

Imaginary Unit

A

The square root of -1, denoted

38
Q

Inconsistent

A

If a system has no solution, it is said to be inconsistent .

39
Q

Independent

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 s {1, 2, 3, …}. …

41
Q

Interval Notation

A

a set of real numbers that contains all real numbers lying between any two numbers of the set.

42
Q

Inverse Function

A

Functions that undo each other

43
Q

Inverse Relation

A

is 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

Two variables x and y show inverse variation when y=a/x where a =/ 0

45
Q

Joint Variation

A

a variable varies directly or inversely with multiple variables.

46
Q

Lactus Rectum

A

the chord through a focus parallel to the conic section directrix

47
Q

Linear Programming

A

a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.

48
Q

Logarithm

A

the inverse function to exponentiation.

49
Q

Logistic Growth Model

A

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50
Q

Matrix

A

A rectangular arrangement of numbers

51
Q

nth root

A

for an integer n greater than 1, if bn = a, then b in an nth root of a

52
Q

Natrual Logarithm

A

A logarithm with base e denoted by loge or ln.

53
Q

Negative Exponent

A

how many times to divide by the number.

54
Q

Parabola

A

a plane curve which is mirror-symmetrical and is approximately U-shaped.

55
Q

Parent Function

A

The most basic function in a familt of functions

56
Q

Piece-wise defined function

A

A function defined by two or more equtions

57
Q

Point-slope form

A

y-y1=m(x-x1)

58
Q

Quadratic Function

A

A function that can be written in the form f(x) = a(x-h)^2 +k where a =/ 0

59
Q

Radicand

A

The value you want to take the root of. In √x, “x”

60
Q

Rate of Change

A

used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable.

61
Q

Rational Exponent

A

an exponent that is a fraction.

62
Q

Rational Function

A

A function that has the form

63
Q

Rationalizing the Denominator

A

To rationalize the denominator 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

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

66
Q

Relative Maximum

A

point is a point where the function changes direction from increasing to decreasing (making that point a “peak” in the graph).

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

An ordered list of numbers

71
Q

Set-builder notation

A

Uses symbols to define a set, in terms of the properties of the members list.

72
Q

Step function

A

A piecewise function defined by a constant value over each part of its domain.

73
Q

Synthetic Division

A

A shortcut method to divide a polynomial by a binmial of te form x -k

74
Q

Vertex Form

A

A qadrati function written in the form f(x = a(x0h)^2 +h where a =/0

75
Q

Vertical line test

A

Line down x axis

76
Q

Zeros

A

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

Algebra II (1 decks)

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