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honors algebra 2 > spring semester final > Flashcards

spring semester final Flashcards

1
Q

A sequence in which the difference of consecutive terms is constant

A

Arithmetic sequence

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2
Q

A line that a graph approaches more and more closely

A

Asymptote

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3
Q

log c (a) = log b (a) / log b (c)

A

Change of base formula

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4
Q

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

A

Circle

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5
Q

Varies directly with some of them and varies inversely with others

A

Combined variation

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6
Q

The constant difference d between consecutive terms of an arithmetic sequence

A

Common difference

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7
Q

A logarithm with base 10, denoted as log 10 or simply by log

A

Common logarithm

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8
Q

The constant ratio r between succesive terms of a geometric sequence

A

Common ratio

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9
Q

To add a term c to am expression of the form x^2 + bx such that x^2 + bx + c is a perfect square trinomial

A

Completing the square

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10
Q

Pairs of complex numbers of the forms a + bi and a - bi, where b does not equal zero

A

Complex conjugates

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11
Q

A fraction that contains a fraction in its numerator or denominator

A

Complex fraction

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12
Q

A number written in the form a + bi, where a and b are real numbers

A

Complex number

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13
Q

An operation that can be performed with two functions

A

Composition of functions

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14
Q

An inequality that combines two simple inequalities

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

A linear or nonlinear system of equations that has at least one solution (constant)

A

Consistent

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17
Q

The constant a in the in the inverse variation equation y= a/x , where a does not equal 0

A

Constant of variation

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18
Q

All reals domain and range

A

Continuous relation

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19
Q

A number from -1 to 1 that measures how well a line fits a set of data pairs (x,y)

A

Correlation coefficient

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20
Q

Variable that depends on the value of some other number that has infinite solutions

A

Dependent

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21
Q

The dimensions of a matrix with m rows and columns are m X n

A

Dimensions of a matrix

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22
Q

A simple relationship between two variables in which y=xk or y/x=k

A

Direct variation

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23
Q

The expression b^2 - 4ac in the Quadratic Formula

A

Discriminant

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24
Q

A plane curve surrounding two focal points

A

Ellipse

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25
Q

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

A

End behavior

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26
Q

Equations in which variable expressions occur as exponents

A

Exponential equation

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27
Q

Solutions that are not solutions of the original equation

A

Extraneous solution

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28
Q

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

A

Extrema

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29
Q

A theorem linking factors and zeros of a polynomial

A

Factor theorem

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30
Q

Term following a sequence that has a definite end and beginning 2,4,6

A

Finite sequence

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31
Q

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

A

Function

32
Q

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

A

Geometric sequence

33
Q

A step function that returns a constant value for each specific interval. llxll

A

Greatest integer function

34
Q

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

A

Growth factor

35
Q

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

A

Hyperbola

36
Q

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

A

Identity function

37
Q

Imaginary number . The square root of -1

A

Imaginary unit

38
Q

If it consists of a contradiction

A

Inconsistent

39
Q

Does not depend on another variable

A

Independant

40
Q

Term following a sequence that goes on forever

A

Infinite sequence

41
Q

A way to describe the solution set of n inequality

A

Interval notation

42
Q

Functions that undo each other

A

Inverse function

43
Q

The set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function (a,b) (b,a)

A

Inverse relation

44
Q

Two variables x and y show inverse variation when y=k/x or yx=k

A

Inverse variation

45
Q

Occurs when a variable varies directly or inversely with multiple variables. y=kxz or y/xz=k

A

Joint variation

46
Q

The chord (line segment) that passes through the focus, is perpendicular to the major axis and has both endpoints on the curve.

A

Latus rectum

47
Q

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

A

Linear programming

48
Q

The exponent to which another fixed number, the base b, must be raised, to produce that number x. log base. limits growth

A

Logarithm

49
Q

A common S-shaped curve in a log model

A

Logistic growth model

50
Q

A rectangular arrangement of numbers

A

Matrix

51
Q

It is the “radical” symbol (used for square roots) with a little n

A

nth root

52
Q

A logarithm with base e, denoted by log e or base n

A

Natural logarithm

53
Q

The sign on an exponent that means the reciprocal. moves exponent

A

Negative exponent

54
Q

The graph of a quadratic formula

A

Parabola

55
Q

The most basic function in a family of functions

A

Parent function

56
Q

A function defined by two or more equations

A

Piece-wise defined function

57
Q

The equation of a straight line in the form y − y1 = m(x − x1)

A

Point-slope form

58
Q

A function that can be written in the form f(x)=a(x-h)^2 = k, where x cannot equal 0

A

Quadratic function

59
Q

The value inside the radical symbol

A

Radicand

60
Q

Used to mathematically describe the percentage change in value over a defined period of time

A

Rate of change

61
Q

A number such as −3/7 that can be expressed as an integer or fraction

A

Rational exponent

62
Q

Any function which can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials

A

Rational function

63
Q

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

A

Rationalizing the denominator

64
Q

A formula that defines each term of a sequence using preceding term(s)

A

Recursive formula

65
Q

An estimate of the line that describes the behavior of a set of data

A

Regression line

66
Q

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

A

Relative maximum

67
Q

The lowest point a particular section of a graph

A

Relative minimum

68
Q

A solution to a function, x=0

A

Root

69
Q

A set of data graphed as ordered pairs in a coordinate

A

Scatter plot

70
Q

An ordered list of numbers

A

Sequence

71
Q

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

A

Set-builder notation

72
Q

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

A

Step function

73
Q

A shortcut method to divide a polynomial by a binomial of the form x - k

A

Synthetic division

74
Q

A quadratic function written in the form f(x)= a(x-h)^2 + k, where a does not equal 0

A

Vertex form

75
Q

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

A

Verticle line test

76
Q

Where a function equals the value 0

A

Zeros

honors algebra 2 (1 decks)

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