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Algebra 2 > Vocab Final > Flashcards

Vocab Final Flashcards

1
Q

Arithmetic Sequence

A

A sequence in which the difference of constructive terms is constant

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2
Q

Asymptote

A

the line a curve approaches but never reaches

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3
Q

Change of base formula

A

a formula that allows you to rewrite a logarithm in terms of logs written with another base

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4
Q

Circle

A

the points are the same distance from one point

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5
Q

Combined variation

A

y = kx/z

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6
Q

Common difference

A

The constant difference between constructive 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 between constructive terms of a geometric sequence

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9
Q

completing the square

A

to add a term 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 - 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 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 ≠ 0

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18
Q

continuous relation

A

set of data is 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

The number are 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

the one that depends on some other number or 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 • n

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22
Q

Direct variation

A

relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times to the other

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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 = ~ab

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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

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

The maximum and minimum values of the 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 has a limited number of terms

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

35
Q

hyperbola

A

the line that an exponential function creates

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 that has no solution when graphed

39
Q

independent

A

represents the quantity that is being manipulated or the input value

40
Q

infinite sequence

A

a sequence that does not have a limited number of terms

41
Q

interval notation

A

a way to describe continuous sets of real numbers by the numbers that bound them

42
Q

inverse function

A

functions that undo each other

43
Q

inverse relation

A

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 ≠ 0

45
Q

joint variation

A

y = k(xz)

46
Q

latus rectum

A

a chord of a conic section that passes through a focus and is parallel to the directrix

47
Q

linear programming

A

a method to achieve the best outcome in a math 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

approximately exponential at first, but it has a reduced rate of growth as the output approaches the model’s upper bound

50
Q

Matrix

A

A rectangular arrangement of numbers

51
Q

n^th root

A

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

52
Q

Natural logarithm

A

A logarithm with base e

53
Q

Negative exponent

A

means that the base is a fraction and the answer is the denominator

54
Q

parabola

A

The graph of a quadratic function

55
Q

Parent function

A

The most basic function in a family functions

56
Q

piece-wise defined function

A

s

57
Q

Point-slope form

A

the equation of a straight line in the form y-y1 = m(x-x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line

58
Q

quadratic function

A

A function that can be written in the form f(x) = a(x-h)^2 + k, where a ≠ 0

59
Q

Radicand

A

a number or expression inside the radical symbol

60
Q

Rate of change

A

The rate at which something changes

61
Q

rational exponent

A

exponent that is a fraction

62
Q

Rational function

A

A function that has the form f(x) = p(x)/q(x), where p(x) and q(x) are polynomials and q(x) ≠ 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 sequence using preceding term

65
Q

Regression line

A

estimate of the line that describes the true, but unknown, linear relationships relationship between the two variables

66
Q

relative maximum

A

point where the function changes direction increasing to decreasing

67
Q

Relative minimum

A

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

68
Q

root

A

A solution of an equation

69
Q

scatter plot

A

type of plot using Cartesian coordinates to display values for typically two variables for a set of data

70
Q

Sequence

A

an ordered list of numbers

71
Q

Set-builder notation

A

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

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 of the form x - k

74
Q

Vertex form

A

a quadratic function written in the form f(x) = a(x-h)^2+k, where a doesn’t equal 0

75
Q

Vertical line test

A

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

Algebra 2 (1 decks)

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