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Algebra 2 Final Review > Sem 2 Final > Flashcards

Sem 2 Final 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

logb a=logd a/logd b

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4
Q

circle

A

shape consisting of all points in a plane that are at a given distance from a given point

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5
Q

combined variation

A

a situation where 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

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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+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-bi, where b≠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 performed with two functions

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14
Q

compound inequalities

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 y=a/x, where a≠0

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18
Q

continuous relation

A

continuous in the usual sense and a composition of continuous relations is continuous

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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

dependant

A

the variable 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 x n

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22
Q

direct variation

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

ellipse

A

a plane curve surrounding two focal points

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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 equation

A

equation 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

the maximum or minimum value 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

a sequence that comes to an end

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 integer function

A

a function that returns a constant value for each specific interval

34
Q

growth factor

A

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

35
Q

hyperbola

A

a symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone

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 with 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 integer

41
Q

interval notation

A

a number that can be written without a fractional component

42
Q

inverse functions

A

functions that undo themselves

43
Q

inverse relation

A

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 whe y=a/x, when a≠0

45
Q

joint variation

A

a variable that varies directly or inversely with multiple variables

46
Q

latus rectum

A

is the chord (line segment) that passes through the focus

47
Q

linear programming

A

a mathematical technique for maximizing or minimizing a linear function of several variables, such as output or cost

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

matrix

A

rectangular arrangement of numbers

50
Q

nth root

A

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

51
Q

natural logarithm

A

a logarithm with base e

52
Q

negative exponent

A

how many times to divide by the number

53
Q

parabola

A

graph of a quadratic function

54
Q

parent function

A

the most basic function in a family of functions

55
Q

piece-wise defined function

A

function defined by two or more equations

56
Q

point slope form

A

y-y1=m(x-x1)

57
Q

quadratic function

A

function that can be written in the form f(x)=a(x-h)+k

58
Q

radicand

A

the value inside the radical symbol

59
Q

rate of change

A

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

60
Q

rational exponent

A

an exponent that is a fraction

61
Q

rational function

A

function that has the form f(x)=p(x)/q(x)

62
Q

rationalizing the denominator

A

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

63
Q

recursive formula

A

a formula that defines each term of a sequence using preceding term

64
Q

relative minumum

A

all the points x, in the domain of the function, such that it is the smallest value for some neighborhood

65
Q

relative maximum

A

a point where the function changes direction from increasing to decreasing

66
Q

root

A

solution of an equation

67
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

68
Q

sequence

A

an ordered list of numbers

69
Q

set-builder notation

A

uses symbols to define a set in terms of properties of the members of the set

70
Q

step function

A

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

71
Q

synthetic division

A

shortcut method to divide a polynomial by a binomal of the form x-h

72
Q

vertex form

A

a quadratic function wrtten in the form f(x)=a(x-h)^x+k

73
Q

vertical line test

A

a method that is used to determine whether a given relation is a function or not

74
Q

zeros

A

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

Algebra 2 Final Review (1 decks)

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