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Algebra 2 Final Review > Sem 2 Final > Flashcards

Sem 2 Final Flashcards

(74 cards)

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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

logb a=logd a/logd b

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4
Q

circle

A

shape consisting of all points in a plane that are at a given distance from a given point

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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

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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

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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≠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 inequalities

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 y=a/x, where a≠0

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18
Q

continuous relation

A

continuous in the usual sense and a composition of continuous relations is continuous

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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

dependant

A

the variable that depends on the value of some other number

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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

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22
Q

direct variation

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

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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
equation in which variable expressions occur as exponents
27
extraneous solution
solutions that are not solutions of the original equation
28
extrema
the maximum or minimum value of a function
29
factor theorem
a theorem linking factors and zeros of a polynomial
30
finite sequence
a sequence that comes to an end
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 b in an exponential growth function of the form y=ab^x, where a>0 and b>1
35
hyperbola
a symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone
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 with no solution
39
independent
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
41
interval notation
a number that can be written without a fractional component
42
inverse functions
functions that undo themselves
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
two variables x and y show inverse variation whe y=a/x, when a≠0
45
joint variation
a variable that varies directly or inversely with multiple variables
46
latus rectum
is the chord (line segment) that passes through the focus
47
linear programming
a mathematical technique for maximizing or minimizing a linear function of several variables, such as output or cost
48
logarithm
a quantity representing the power to which a fixed number (the base) must be raised to produce a given number
49
matrix
rectangular arrangement of numbers
50
nth root
for an integer n greater than 1, if b^n=a, then b is an nth root of a
51
natural logarithm
a logarithm with base e
52
negative exponent
how many times to divide by the number
53
parabola
graph of a quadratic function
54
parent function
the most basic function in a family of functions
55
piece-wise defined function
function defined by two or more equations
56
point slope form
y-y1=m(x-x1)
57
quadratic function
function that can be written in the form f(x)=a(x-h)+k
58
radicand
the value inside the radical symbol
59
rate of change
the speed at which a variable changes over a specific period of time
60
rational exponent
an exponent that is a fraction
61
rational function
function that has the form f(x)=p(x)/q(x)
62
rationalizing the denominator
to eliminate any radical expressions in the denominator such as square roots and cube roots
63
recursive formula
a formula that defines each term of a sequence using preceding term
64
relative minumum
all the points x, in the domain of the function, such that it is the smallest value for some neighborhood
65
relative maximum
a point where the function changes direction from increasing to decreasing
66
root
solution of an equation
67
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
68
sequence
an ordered list of numbers
69
set-builder notation
uses symbols to define a set in terms of properties of the members of the set
70
step function
a piecewise function defined by a constant value over each part of its domain
71
synthetic division
shortcut method to divide a polynomial by a binomal of the form x-h
72
vertex form
a quadratic function wrtten in the form f(x)=a(x-h)^x+k
73
vertical line test
a method that is used to determine whether a given relation is a function or not
74
zeros
an x-value of a function f for which f(x)=0

Algebra 2 Final Review (1 decks)

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