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Algebra 2 > Final > Flashcards

Final Flashcards

1
Q

Arithmeic Sequence

A

A sequence in which the difference of consecutive terms is consant

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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(x)= logd(x)/logd(b)

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4
Q

Circle

A

a round plane figure whose boundary (the circumference) consists of points equidistan fixed 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, denoted as log subscript10 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 tirnomial

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10
Q

complex conjugates

A

Pairs of complex numbers of the forms a+bi and a-bi, where b does not equal 0

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11
Q

complex fraction

A

A fraction tht 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 can be performed with two functions

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14
Q

compound inequality

A

a sentence with 2 inequality statements joined either with the word or or by the word and.

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15
Q

conic section

A

a curve obtained as the intersection of the surface of a cone with a plane

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16
Q

consistent

A

at least one set of values for the unkowns that satifies each equation in the system.

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17
Q

constant of variation

A

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

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18
Q

continuous relation

A

a set of input values that consists of all numbers in an 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 datat pairs (x,y)

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20
Q

dependent

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 (read “m bt n”)

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22
Q

direct variation

A

a simple relationship between two varables

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23
Q

discriminat

A

the expression b^2-4ac in the quadratic formula

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24
Q

ellipse

A

a curve that is the locus of all points in the plane the sum of whose distances and from two fixed points.

25
Q

end behavior

A

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

26
Q

exponential equation

A

equation in whichvariable expressions occur as exponents

27
Q

extraneous soulution

A

solutions that are not solutions of the original equations

28
Q

extrema

A

the smallest and largest values

29
Q

factor theorem

A

reverse of the remainder theorem

30
Q

finite sequence

A

the differences of consecutive y-values in a data set when the x-values are equally spaced

31
Q

function

A

a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output

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

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 unction of the form y=ab^x, where a >0 and b>1

35
Q

hyperbola

A

a two branched open curve

36
Q

identity function

A

function which assigns every real number of the same real number

37
Q

Imaginary unit

A

the square root of -1, denoted is i=square root -1

38
Q

inconsistent

A

two or more equations that are impossible to solve based on using one set of values for the variables

39
Q

independent

A

quantity that’s being manipulated in a series

40
Q

infinitive sequence

A

list or string of discrete objects that can be paired off one-ro-one with the set of positive integers.

41
Q

interval notation

A

a way to describe continuous sets of real numbers

42
Q

inverse function

A

functions that undo eachother

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 when y=a/x, where a does not = 0

45
Q

joint variation

A

when a variables varies directly or inversly with multiple variables

46
Q

Latus rectum

A

a conic section is the chord through a focus parallel to the conic section directrix

47
Q

Linear programming

A

a mathematical modeling technique in which a linear function is maximized or minimized when subjected to various canstraints

48
Q

logarithm

A

the power to chich a number must be raised in order to get some other number

49
Q

logistic growth model

A

a logarithm shown and plotted out on a graph

50
Q

matrix

A

a rectangular arrangement of numbers

51
Q

nth root

A

for an interger greater than 1 i f b=a, then b is an nth root of a

52
Q

natural logarithm

A

a logarithm with base e denoted by logsubscripte or ln

53
Q

negative exponent

A

means how many times to divide by the number

54
Q

parabola

A

the graph of a quadratic function

55
Q

parent function

A

the most basic function in a family of functions

56
Q

piece-wise defined function

A

function that is not defined by a single equation but by two or more

57
Q

point-slope form

A

the equation of a straight line

58
Q

quadratic function

A

a function that can be written in the frm f(x)=a(x-h)^2+k, where a does not= 0

Algebra 2 (1 decks)

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