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Algebra 2 > Spring Final Review > Flashcards

Spring Final Review 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 closely

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3
Q

Change of base formula

A

to rewrite the logarithm as the quotient of logarithms of any other 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)

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6
Q

common difference

A

the constant difference 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 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 0 - bi

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11
Q

complex fraction

A

A fraction that 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 takes two functions f and g and produces a function h

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14
Q

Compound inequality

A

s 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 group of two or more linear equations having the same variables

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17
Q

Constant of variation

A

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

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18
Q

Continuous relation

A

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

dependent variable is 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 x n. Number of rows by the number of columns.

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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 b^2 -4ac in the Quadratic Formula

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24
Q

Elipse

A

a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane which does not intersect the base.

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25
End Behavior
The behavior of the graph of a function as x approaches positive infinity or negative infinity
26
exponential equations
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
29
Factor Theorem
a theorem linking factors and zeros of a polynomial
30
Finite Sequence
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 if any term to the previous term is constant
33
Greatest integer function
greatest integer not greater than x, y=[x]
34
Growth Factor
the factor by which a quantity multiplies itself over time
35
Hyperbola
a type of smooth curve lying in a plane
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
38
Inconsistent
a system has no solution, both equations represent the same line.
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
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
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=k/x
45
Joint variation
a situation where one variable depends on two (or more) other variables
46
Latus rectum
the chord through a focus parallel to the conic section
47
Linear programming
a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model
48
logarithm
a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
49
Logistic growth model
logistic S-curve can be used for modeling the crop response to changes in growth factors.
50
Matrix
a rectangular arrangement of numbers
51
nth root
For an integer n greater than 1
52
Natural logarithm
a logarithm with base e, denoted by ln
53
negative exponent
that the base is on the wrong side of the fraction line
54
Parabola
a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side.
55
Parent Function
The most basic function in a family of functions
56
Piece-wise defined function
a function defined by multiple sub-functions
57
Point-slope formula
y-y1=m(x-x1)
58
Quadratic function
a function that can be written in the form f(x)=a(x-h)^2+k
59
radicand
The value inside the radical symbol. | The value you want to take the root of.
60
rate of change
is the speed at which a variable changes over a specific period of time.
61
rational exponent
an exponent that is a fraction
62
rational function
a function p(x)/q(x)
63
Rationalizing the denominator
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
a line that best describes the behavior of a set of data.
66
Relative maximum
a point where the function changes direction from increasing to decreasing
67
Relative minimum
decreasing to increasing
68
root
a number x is another number
69
scatter plot
a graph in which the values of two variables are plotted along two axes,
70
Sequence
an enumerated collection of objects in which repetitions are allowed and order matters.
71
Set-builder notation
a mathematical notation for describing a set by enumerating its elements
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 binomial
74
Vertex Form
a point where two or more curves, lines, or edges meet.
75
Vertical line test
a visual way to determine if a curve is a graph of a function or not
76
Zeros
a member x of the domain of f such that f(x) vanishes at x

Algebra 2 (1 decks)

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