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Terms Flashcards

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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

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

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) 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 simple 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 squared + bx such that x2 +bx +c is a perfect square trinomia

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10
Q

Complex Conjugates

A

Paris 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 numberator 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 fucions

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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

A set of data is said to be 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 Ceofficient

A

A number r from -1 to 1 that measure how well a line fits a set of data pairs.

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20
Q

Dependent

A

The dependent variable is the one that depends on the value of some other number.

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21
Q

Dimensions of a Matrix

A

The dimension of a matrix with m rows and n columns are m x n.

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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 b2 - 4ac in the Quadratic Formula

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24
Q

Ellipse

A

is 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 behaior of the rapf of a function as x approaches positive infinity or negative infinity
26
Exponential Equation
Equations in which variable expressio occur as expoents.
27
Extraneous Solution
Solutions that are not solutions of the orifinal eqation
28
Extrema
In mathematical analysis, the maxima and minima of a function,
29
Factor Theorem
a theorem linking factors and zeros of a polynomial.
30
Finite sequence
is a list of terms in a specific order.
31
Function
a relationship or expression involving one or more variables.
32
Geometric Sequence
A sequence in which the ratio of any term to the previous term is constant
33
Greatest interger function
The function rounds -off the real number down to the integer less than the number.
34
Growth Factor
The value of b in an exponential growth function of the form y=ab^x where a>0 and b>1
35
Hyperbola
a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.
36
Identity Function
a function that always returns the same value that was used as its argument.
37
Imaginary Unit
The square root of -1, denoted
38
Inconsistent
If a system has no solution, it is said to be inconsistent .
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 {1, 2, 3, ...}. ...
41
Interval Notation
a set of real numbers that contains all real numbers lying between any two numbers of the set.
42
Inverse Function
Functions that undo each other
43
Inverse Relation
is 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 =/ 0
45
Joint Variation
a variable varies directly or inversely with multiple variables.
46
Lactus Rectum
the chord through a focus parallel to the conic section directrix
47
Linear Programming
a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.
48
Logarithm
the inverse function to exponentiation.
49
Logistic Growth Model
50
Matrix
A rectangular arrangement of numbers
51
nth root
for an integer n greater than 1, if bn = a, then b in an nth root of a
52
Natrual Logarithm
A logarithm with base e denoted by loge or ln.
53
Negative Exponent
how many times to divide by the number.
54
Parabola
a plane curve which is mirror-symmetrical and is approximately U-shaped.
55
Parent Function
The most basic function in a familt of functions
56
Piece-wise defined function
A function defined by two or more equtions
57
Point-slope form
y-y1=m(x-x1)
58
Quadratic Function
A function that can be written in the form f(x) = a(x-h)^2 +k where a =/ 0
59
Radicand
The value you want to take the root of. In √x, "x"
60
Rate of Change
used to mathematically describe 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
63
Rationalizing the Denominator
To rationalize the denominator means to eliminate any radical expressions in the denominator such as square roots and cube roots.
64
Recursive Formula
a formula that defines each term of a sequence using preceding term(s).
65
Regression Line
an estimate of the line that describes the true, but unknown, linear relationship between the two variables.
66
Relative Maximum
point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).
67
Relative minimum
all the points x, in the domain of the function, such that it is the smallest value for some neighborhood.
68
Root
Where a function equals zero.
69
Scatter Plot
a graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.
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 list.
72
Step function
A piecewise function defined by a constant value over each part of its domain.
73
Synthetic Division
A shortcut method to divide a polynomial by a binmial of te form x -k
74
Vertex Form
A qadrati function written in the form f(x = a(x0h)^2 +h where a =/0
75
Vertical line test
Line down x axis
76
Zeros
An x-value of a function f for which f(x) = 0

Algebra II (1 decks)

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