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Algebra 2 > Spring Final Review > Flashcards

Spring Final Review 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 closely

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3
Q

Change of base formula

A

to rewrite the logarithm as the quotient of logarithms of any other 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)

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6
Q

common difference

A

the constant difference 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

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

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10
Q

Complex conjugates

A

Pairs of complex numbers of the forms a + bi and a 0 - bi

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11
Q

complex fraction

A

A fraction that contains a fraction in its numerator and 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 takes two functions f and g and produces a function h

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14
Q

Compound inequality

A

s 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 group of two or more linear equations having the same variables

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17
Q

Constant of variation

A

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

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18
Q

Continuous relation

A

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

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

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20
Q

Dependent

A

dependent variable is the output value

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21
Q

Dimensions of a matrix

A

The dimensions of a matrix with m rows and n columns are m x n. 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 expression b^2 -4ac in the Quadratic Formula

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24
Q

Elipse

A

a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) 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 of a function as x approaches positive infinity or negative infinity

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26
Q

exponential equations

A

equations in which variable expressions occur as exponents

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27
Q

Extraneous solution

A

solutions that are not solutions of the original equation

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28
Q

Extrema

A

any point at which the value of a function is largest

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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

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 if any term to the previous term is constant

33
Q

Greatest integer function

A

greatest integer not greater than x, y=[x]

34
Q

Growth Factor

A

the factor by which a quantity multiplies itself over time

35
Q

Hyperbola

A

a type of smooth curve lying in a plane

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

38
Q

Inconsistent

A

a system has no solution, both equations represent the same line.

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

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

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=k/x

45
Q

Joint variation

A

a situation where one variable depends on two (or more) other variables

46
Q

Latus rectum

A

the chord through a focus parallel to the conic section

47
Q

Linear programming

A

a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model

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

logistic S-curve can be used for modeling the crop response to changes in growth factors.

50
Q

Matrix

A

a rectangular arrangement of numbers

51
Q

nth root

A

For an integer n greater than 1

52
Q

Natural logarithm

A

a logarithm with base e, denoted by ln

53
Q

negative exponent

A

that the base is on the wrong side of the fraction line

54
Q

Parabola

A

a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side.

55
Q

Parent Function

A

The most basic function in a family of functions

56
Q

Piece-wise defined function

A

a function defined by multiple sub-functions

57
Q

Point-slope formula

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

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

is the speed at which a variable changes over a specific period of time.

61
Q

rational exponent

A

an exponent that is a fraction

62
Q

rational function

A

a function p(x)/q(x)

63
Q

Rationalizing the denominator

A

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

a line that best describes the behavior of a set of data.

66
Q

Relative maximum

A

a point where the function changes direction from increasing to decreasing

67
Q

Relative minimum

A

decreasing to increasing

68
Q

root

A

a number x is another number

69
Q

scatter plot

A

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

70
Q

Sequence

A

an enumerated collection of objects in which repetitions are allowed and order matters.

71
Q

Set-builder notation

A

a mathematical notation for describing a set by enumerating its elements

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 binomial

74
Q

Vertex Form

A

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

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

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

Algebra 2 (1 decks)

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