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Honors Algebra 2 > Spring Finals Review > Flashcards

Spring Finals Review Flashcards

1
Q

Arithmetic Sequence

A

Each term increases by adding/subtracting some constant k

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2
Q

Asymptote

A

A line that continually approaches a given curve

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3
Q

Change of Base Formula

A

logb(a) = logx(a)/logx(b)

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4
Q

Circle

A

A round plane figure

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5
Q

Combined Variation

A

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

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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 simply 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

a technique for converting a quadratic polynomial of the form ax^{2}+bx+c

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10
Q

Complex Conjugates

A

Pairs of complex numbers of the forms a + bi and a-bi, where b doesn’t equal 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 formed with 2 functions

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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 doesn’t equal 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 Coefficient

A

Expressed using the variable r, where r is between 1 and –1, inclusive.

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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 dimensions of a matrix with m rows and n columns are m by n.

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22
Q

Direct Variation

A

A simple relationship between two variables.

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23
Q

Ellipse

A

Plane curve surrounding two focal points, such that for all points on the curve (oval).

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24
Q

Exponential Equation

A

A function of the form y = ab^2, where a doesn’t equal 0, and the base b is a positive real number other than 1.

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25
Q

End Behavior

A

The behavior of the graph of a function as x approaches +infinity or -infinity

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26
Q

Extraneous Solution

A

Solutions that are not solutions of the original behavior.

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27
Q

Extrema

A

The maximum or minimum value of a function.

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28
Q

Factor Theorem

A

A theorem linking factors and zeros of a polynomial.

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29
Q

Finite Sequence

A

A list of terms in a specific order.

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30
Q

Function

A

A relationship or expression involving one or more variables.

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31
Q

Geometric Sequence

A

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

32
Q

Greatest integer function

A

a function that returns a constant value for each specific interval

33
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

34
Q

Discriminant

A

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

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

the function which assigns every real number to the same real number

37
Q

Imaginary Unit

A

The square root of -1, denoted as i

38
Q

Inconsistent

A

If a system has no solution

39
Q

Independent

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 integers

41
Q

Interval Notation

A

way of writing subsets of the real number line

42
Q

Inverse Function

A

a function that undoes the action of another function

43
Q

Inverse Relation

A

the value of one parameter tends to decrease as the value of the other parameter in the relationship increases

44
Q

Inverse Variation

A

Two variables x and y show inverse variation when y = a/x, where a doesn’t equal 0

45
Q

Joint Variation

A

variable varies directly or inversely with multiple variables.

46
Q

Latus Rectum

A

the chord through a focus parallel to the conic section directrix

47
Q

Linear Programming

A

technique for maximizing or minimizing a linear function of several variables

48
Q

Logarithm

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

common S-shaped curve

50
Q

Matrix

A

A rectangular arrangement of numbers

51
Q

n^th root

A

For an integer n greater than 1, if b^n = a, then b is an nth root of a

52
Q

Natural Logarithm

A

A logarithm with a base e

53
Q

Negative Exponent

A

how many times to divide by the numbe

54
Q

Parabola

A

Graph of a quadratic function

55
Q

Parent Function

A

The most basic function in a family of function

56
Q

Pieve-wise defined function

A

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

57
Q

Point-Slope Form

A

y − y1 = m(x − x1), where m is the slope of the line

58
Q

Quadratic Function

A

A function that can be written in t he form f(x) = a(x-h)^2 +k, where a doesn’t equal 0

59
Q

Radicand

A

what is inside the root sign

60
Q

Rate of change

A

the percentage change in value over a defined period of time

61
Q

Rational Exponent

A

the percentage change in value over a defined period of time

62
Q

Rational Function

A

A function that has the form f(x) = p(x)/q(x), where p(x) and q(x) are plynomials and q(x) doesn’t equal 0

63
Q

Rationalizing the Denominator

A

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

64
Q

Recursive formula

A

defines each term of a sequence using the preceding term(s)

65
Q

Regression line

A

regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables

66
Q

Relative Maximum

A

point where the function changes direction from increasing to decreasing

67
Q

Relative Minimum

A

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 of an equation

69
Q

Scatter Plot

A

a graph in which the values of two variables are plotted along two axes

70
Q

Sequence

A

An ordered list of numbers

71
Q

Set-Builder Notation

A

describing a set by enumerating its elements, or stating the properties that its members must satisfy

72
Q

Step Function

A

a function that increases or decreases abruptly from one constant value to another.

73
Q

Synthetic Division

A

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

74
Q

Vertical Line Test

A

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

75
Q

Zeros

A

is a member x of the domain of f such that f(x) vanishes at x

76
Q

Vertex Form

A

point where two or more curves, lines, or edges meet

Honors Algebra 2 (1 decks)

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