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Honors Algebra 2 > Final Review > Flashcards

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 the graph approaches more and more closely.

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3
Q

change of base formula

A

allows you to rewrite a logarithm in terms of logs written with another base

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4
Q

circle

A

a shape consisting of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point

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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

completing the square

A

to add a term to “c” to an expression of the form x^2 +bxsuch that x^2 +bx+c is a perfect square trinomial

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8
Q

complex conjugates

A

pairs of complex numbers of the forms a + bi and a - bi, where b does not equal zero

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9
Q

complex fraction

A

a fraction that contains a fraction in its numerator or denominator

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10
Q

common logarithm

A

a logarithm with a base of ten referred to as simply log

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11
Q

common ratio

A

the constant ratio “r” between consecutive terms of a geometric sequence

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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 is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.

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17
Q

constant of variation

A

the constant “A” in the inverse variation equation y=a/x, where a does not equal zero

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18
Q

continuous relation

A

forming an unbroken whole

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19
Q

correlation coefficient

A

a number “r” from -1 to 1 that measure how well a line fits a set of data pairs (x,y)

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20
Q

dependent

A

reliant upon another variable

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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

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 closed plane curve generated by a point moving in such a way that the sums of its distances from two fixed points is a 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 expression occur as exponents
27
extraneous solution
solutions that are not solutions of the original eqauion
28
extrema
the smallest and largest of values
29
factor theorem
a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder
30
finite sequence
list of terms in a specific order
31
function
a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
32
geometric sequence
a sequence in which the ratio of any term to the previous term is constant
33
greatest integer function
The function rounds -off the real number down to the integer less than the number. This function is also known as the Floor Function.
34
growth factor
the factor by which a quantity multiplies itself over time
35
hyperbola
two curves that are like infinite bows
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
if a system has no solution
39
independent
the quantity that is being manipulated
40
infinite sequence
list or string of discrete objects, usually numbers that can be paired off one-to-one with a set of positive integers
41
interval notation
way of writing subscripts of the real number line
42
inverse function
functions that undo each other
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 when y= a/x, where a does not equal zero
45
joint variation
occurs when a variable varies directly or inversely with multiple variables
46
latus rectum
the chord through a focus parallel to the conic section
47
linear programming
mathematical modeling technique in which a linear function is maximized or minimized when subjected to various constraints.
48
logarithm
the inverse function to exponentiation
49
Logistic growth model
general differential equation that only models the sigmoid function for x > 0 x>0
50
matrix
a rectangular arrangement of numbers
51
nth root
for an integer "n" greater than 1, if b^=a, then b is an nth root of a.
52
natural logarithm
a logarithm with base "E", denoted by ln
53
negative exponent
the number that shows how many times to divide by a number
54
parabola
the graph of a quadratic function
55
parent function
the most basic function in a family of functions
56
piece-wise defined function
a function defined by two or more equations
57
point-slope form
means that you're supposed to write the equation of a line from knowing its slope and any point on the line
58
quadratic function
a function that can be written in the form f(x)=a(x-h)^2 +k, where x does not equal zero
59
radicand
the value inside the radical
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
exponent that is a fraction
62
rational function
A function that is the ratio of two polynomials. It is "Rational" because one is divided by the other, like a ratio.
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
65
regression line
a line that best describes the behavior of a set of data.
66
relative maximum
point is a point where the function changes direction from increasing to decreasing
67
relative minimum
a point where the function changes direction from decreasing to increasing
68
root
solution of an equation
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 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 zero
75
vertical line test
a method that is used to determine whether a given relation is a function or not.
76
zeros
no number 0

Honors Algebra 2 (1 decks)

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