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Honors Algebra 2 > Final Exam > Flashcards

Final Exam 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

Log base b of A is equal to log base d of A over log base d of B

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4
Q

circle

A

A round plane figure whose boundary consists of points equidistant from a fixed point

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5
Q

Combined Variation

A

Describes a situation where a variable depends on two or more other variables, it varies directly with some and inversely with other

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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 base 10 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+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 is not = to 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

If a system has at least one solution it is consistent

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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 = to 0

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18
Q

continuous relation

A

a function can take on any number within a certain 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

a

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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 ā€œm by nā€

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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

Ellipse

A

a plane curve surrounding two focal points, such that all points on the curve,the some of the two distances to the focal points is constant

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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 equation
Equations in which variable expressions occur as exponents
27
Extraneous solution
Solutions that are not solutions of the original equation
28
Extrema
The smallest and largest values
29
Factor Theorem
A theorem linking factors and zeros of a polynomial
30
Finite sequence
a list of terms in a specific order, includes a first and a last term
31
Function
a relationship or expression involving one or more variables
32
Geometric sequence
a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
33
Greatest integer function
Piecewise function whose graph looks like a staircase
34
Growth Factor
factor by which a quantity multiplies itself over time
35
Hyperbola
Two curves that are mirror images of each other
36
Identity function
The function that assigns every real number to the same real number
37
imaginary unit
referred to as i, not a real number but can extend numbers to complex numbers
38
inconsistent
If a system has no solution
39
independent
The output value in an equation
40
infinite sequence
A sequence is infinite if it does not have an end to the list
41
interval notation
interval notation uses brackets or parenthesis, and goes least to greatest
42
inverse function
A function that reverses another function
43
inverse relation
set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function
44
inverse variation
A relationship between two variables in which the product is a constant
45
joint variation
when a variable varies inversely or directly with multiple variables.
46
Latus rectum
is the chord through a focus parallel to the conic section directrix
47
Linear programming
a linear function is maximized or minimized when subjected to various constraints
48
Logarithm
Inverse function to exponentation
49
logistic growth model
characterized by increasing growth in the beginning period, but a decreasing growth at a later stage, as you get closer to a maximum
50
matrix
arrangement of numbers into rows and columns
51
nth root
used n times in multiplication to get to the original value
52
natural logarithm
Ln x, used when "e" has to be raised to be equal to n
53
negative exponent
means how many times to divide by that number
54
Parabola
a symmetrical plane curve that forms when a cone intersects with a plane parallel to its side
55
Parent function
The simplest function in the family of functions
56
Piece-wise defined function
a function defined by multiple sub functions, where each sub function applies to a different interval in the domain
57
Point-slope form
y-y sub1 =m(x-xsub1)
58
Quadratic function
a polynomial of degree 2, graph is a parabola
59
radicand
number of expression inside the radical symbol
60
rate of change
used to mathematically describe the percentage change in value over a defined period of time
61
rational exponent
exponent that is a fraction
62
rational function
any function that can be defined by a rational fraction
63
rationalizing the denominator
eliminate any radical expressions in the denominator
64
recursive formula
a formula that defines each term of a sequence using preceding terms
65
regression line
an estimate of the line that describes the true but unknown linear relationship between the two variables
66
relative maximum
a point where the function changes direction from increasing to decreasing
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
when y is equal to 0 on the graph
69
scatter plot
type of plot or mathematical diagram using cartesian coordinates to display values for typically two variables for a set of data
70
sequence
an enumerated collection of objects in which repetitions are allowed and order matters
71
set-builder notation
describes or defines the elements of a set instead of listing the element
72
step function
a piecewise function that looks like a staircase
73
synthetic division
shortcut method of polynomial division in the special case of dividing by a linear factor
74
vertex form
point where two or more curves, lines or edges meet
75
vertical line test
visual way to tell if a curve is a function by making sure no points have the same x value
76
zeros
the roots on a graph, when y is equal to 0

Honors Algebra 2 (1 decks)

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