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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
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 maximum and minimum values of the function
29
Factor theorem
a theorem linking factors and zeros of a polynomial
30
finite sequence
a sequence that has a limited number of terms
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 integer function
a function that returns a constant value for each specific interval
34
growth factor
The value of a b in an exponential growth function of the form y = ab^x, where a > 0 and b > 1
35
hyperbola
the line that an exponential function creates
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 that has no solution when graphed
39
independent
represents the quantity that is being manipulated or the input value
40
infinite sequence
a sequence that does not have a limited number of terms
41
interval notation
a way to describe continuous sets of real numbers by the numbers that bound them
42
inverse function
functions that undo each other
43
inverse relation
a 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
y = k(xz)
46
latus rectum
a chord of a conic section that passes through a focus and is parallel to the directrix
47
linear programming
a method to achieve the best outcome in a math 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
approximately exponential at first, but it has a reduced rate of growth as the output approaches the model's upper bound
50
Matrix
A rectangular arrangement of numbers
51
n^th root
for an integer greater than one, if b^n = a, then b is an nth root of a
52
Natural logarithm
A logarithm with base e
53
Negative exponent
means that the base is a fraction and the answer is the denominator
54
parabola
The graph of a quadratic function
55
Parent function
The most basic function in a family functions
56
piece-wise defined function
s
57
Point-slope form
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
quadratic function
A function that can be written in the form f(x) = a(x-h)^2 + k, where a ≠ 0
59
Radicand
a number or expression inside the radical symbol
60
Rate of change
The rate at which something changes
61
rational exponent
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) ≠ 0
63
Rationalizing the denominator
eliminate any radical expressions in the denominator such as square roots and cube roots
64
Recursive formula
defines each term of sequence using preceding term
65
Regression line
estimate of the line that describes the true, but unknown, linear relationships relationship between the two variables
66
relative maximum
point where the function changes direction increasing to decreasing
67
Relative minimum
all the points x, in the domain of the function, such that is the smallest value for some neighborhood
68
root
A solution of an equation
69
scatter plot
type of plot using Cartesian coordinates to display values for typically two variables for a set of data
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 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 of the form x - k
74
Vertex form
a quadratic function written in the form f(x) = a(x-h)^2+k, where a doesn't equal 0
75
Vertical line test
visual way to determine if a curve is a graph of a function or not

Algebra 2 (1 decks)

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