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Algebra II > Vocabulary > Flashcards

Vocabulary 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

for all positive numbers a,b, and n, where a does not equal 1 and b does not equal 1;logn=logb n/ logb a.

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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

a situation where a variable depends on two (or more) other variables, and varies directly with some of them and varies inversely with others (when the rest of the variables are held constant).

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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

to add a term c to an expression of the form x² +bx such that x²+bx+c is a perfect square trinomial.

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10
Q

Complex Conjugates

A

paris of complex numbers of the forms a+bi and a-bi, where b is not equal to 0.

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11
Q

Complex Fractions

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

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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 is not equal to 0.

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18
Q

Continuous Relation

A

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

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

the one that depends on the value of some other number.

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21
Q

Dimensions of Matrix

A

the dimensions of a matrix with m rows and n columns are m X n (read ¨m by n¨).

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22
Q

Direct Variation

A

a simple relationship between two variables .

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23
Q

Discriminant

A

the expression b² - 4ac in the Quadratic Formula.

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24
Q

Ellipse

A

A=pi(a)(b); a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

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25
End Behavior
the behavior of the graph of function as x approaches positive infinity or negative infinity.
26
Exponential Equation
equations in which variable expressions occur as exponents.
27
Extraneous Solution
solutions that are not solutions of the original equation.
28
Extrema
any point at which the value of a function is largest (a maximum) or smallest (a minimum).
29
Factor Theorem
a theorem linking factors and zeros of a polynomial.
30
Finite Sequence
it has a limited number of terms and infinite if it does not.
31
Function
a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
32
Geometric Sequence
a sequence in which the ratio of any term to the previous term is constant.
33
Greatest Integer Function
the function rounds -off the real number down to the integer less than the number. This function is also known as the Floor Function.
34
Growth Factor
the value of b in an exponential growth function of the form y=ab², where a>0 and b>1.
35
Hyperbola
a conic section defined as the locus of all points in the plane the difference of whose distances and from two fixed points (the foci and ) separated by a distance is a given positive constant ,
36
Identity Function
is a function that always returns the same value that was used as its argument.
37
Imaginary Function
one that when squared gives a negative result.
38
Inconsistent
two or more equations that are impossible to solve based on using one set of values for the variables.
39
Independent
a variable that represents a quantity that is being manipulated in an experiment.
40
Infinite Sequence
a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integer´s
41
Interval Notation
a way of writing subsets of the real number line .
42
Inverse Function
functions that undo each-other.
43
Inverse Relation
the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function.
44
Inverse Variation
two variables x and y show inverse variation when y= a/x, where a does not equal 0.
45
Joint Variation
a variable varies directly or inversely with multiple variables.
46
Latus Rectum
the chord through a focus parallel to the conic section directrix.
47
Linear programming
modeling technique in which a linear function is maximized or minimized when subjected to various constraints.
48
Logarithm
the power to which a number must be raised in order to get some other number
49
Logistic Growth Model
a model that represents growth that has a limiting factor- is the most accurate model for representing population growth.
50
Matrix
a rectangular arrangement of numbers.
51
n^th root
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52
Natural Logarithm
a logarithm with base e, denoted by loge or ln.
53
Negative Exponent
the base is on the wrong side of the fraction line, so you need to flip the base to the other side
54
Parabola
the graph of a quadratic function.
55
Parent Function
the most basic function in a family of functions.
56
Piece-wise defined Function
a function that is written using two or more expressions.
57
Point-slope Function
the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
58
Quadratic Function
a function that can be written in the form f(x)=a(x-h)²+k, where a does not equal 0.
59
Radicand
the number that is under the radical | is indicated to be taken to the nth root.
60
Rate of Change
the percentage change in value over a defined period of time, and it represents the momentum of a variable.
61
Rational Exponent
an exponent that is a fraction
62
Rational Function
a function that has the form f(x)=p(x)/q(x), where p(x) and q(x) are polynomials and q(x) does not equal 0.
63
Rationalizing the Denominator
to eliminate radicals from a denominator or fractions from a radicand.
64
Recursive Formula
a formula that defines each term of a sequence using preceding term(s).
65
Regressive Line
a line of best fit
66
Relative Maximum
is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).
67
Relative Minimum
is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).
68
Root
solutions to a quadratic equation.
69
Scatter Plot
a graph of plotted points that show the relationship between two sets of data. In this example, each dot represents one person's weight versus their height.
70
Sequence
an ordered list of numbers
71
Set-Builder Notation
uses symbols to define a set, in terms of the properties of the members of the set.
72
Step Function
a piece-wise function defined by a constant value over each part of its domain.
73
Synthetic Division
a shortcut method to divide a polynomial by a binomial of the form x-k
74
Vertex Form
a quadric function written in the form f(x)=a(x-h)²+k, where a does not equal 0.
75
Vertical Line Test
used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.
76
Zeros
any replacement for the variable that will produce an answer of zero.

Algebra II (1 decks)

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