Flashcards

1
Q

Arithmetic Sequence

A

A sequence in which each term is found by adding the same number to the previous term.

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2
Q

Asymptote

A

A line that the graph approaches but never crosses

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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

A circle is all the points that are the same distance, r – called the radius.

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5
Q

combined variation

A

where more than two variables are related directly. Combined Variation, which involves a combination of direct or joint variation, and indirect variation

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6
Q

common difference

A

the constant ratio r between consecutive terms of a geometric sequence

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7
Q

common logarithm

A

A logarithmic 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 from x2 to bx such that x2+bx +c is a perfect square trinomial

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10
Q

complex conjugations

A

pairs of complex numbers of the form a+bi and a - bi where b is not equal 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

sentence with two inequality statements joined either by the word “or” or by the word “and”.

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15
Q

Conic section

A

is a circle when the x2 and y2 terms have the same sign and equal coefficients

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16
Q

Consistent

A

A system of two linear equations can have one solution, an infinite number of solutions, or no solution. … If a system has at least one solution, it is said to be consistent

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17
Q

Constant of variation

A

The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. In the following equation y varies directly with x, and k is called the constant of variation: y=kx.

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18
Q

continuous relation

A

A set of data is said to be 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

measures the strength of the linear association between two quantitative variables.

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20
Q

dependent

A

If the result of one event IS affected by the result of another event, the events are said to be dependent

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21
Q

dimensions of a matrix

A

The dimensions of a matrix are the number of rows by the number of columns. If a matrix has a rows and b columns, it is an a×b matrix

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22
Q

Direct variation

A

The relationship between two variable quantities that have a constant ratio.

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23
Q

Discriminant

A

a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.

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24
Q

Ellipse

A

A regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points 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 as x approaches positive infinity or negative infinity.
26
Exponential equation
an equation in which the variables occur as exponents
27
Extraneous solution
an apparent solution that must be rejected because it does not satisfy the original equation
28
extrema
The maximum and minimum values of a function
29
factor theorem
The binomial x-r is a factor of the polynomial P(x) if and only if P(r)=0
30
finite sequence
A sequence with a last term
31
function
A relationship from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range.
32
geometric sequence
a sequence in which each term is found by multiplying the previous term by the same number
33
greatest integer function
A step function, written as f(x)=[[x]], where f(x) is the greatest integer less than or equal to x.
34
growth factor
Growth factor is the factor by which a quantity multiplies itself over time. Growth rate is the addend by which a quantity increases
35
Hyperbola
The set of all points in the plane such that the absolute value of the difference of the distances from two given points in the plane, called foci, is constant.
36
identify function
The function y=x
37
imaginary unit
i, or the principal square root of -1
38
inconsistent
not consistent; not in agreement
39
independent
The experimental factor that is manipulated; the variable whose effect is being studied.
40
infinite sequence
a sequence that continues without end
41
interval notation
an expression that uses inequalities to describe subsets of real numbers
42
inverse function
two functions f and g are inverse functions if and only if both of their compositions are the identity function
43
inverse relation
a relationship in which one variable decreases when another variable increases
44
Inverse variation
y=k/x
45
joint variation
y varies jointly as x and z if there is some nonzero constant k such that y=kxz
46
Latus rectum
"Latus rectum" is a compound of the Latin latus, meaning "side," and rectum, meaning "straight." Half the latus
47
linear programming
the process of finding the maximum or minimum values of a function for a region defined by inequalities
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
a growth model that describes a population whose growth is initially exponential, but slows as the population approaches the carrying capacity of the environment
50
matrix
In mathematics, a matrix (plural matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
51
nth root
The number that must be multiplied times itself n times to equal a given value.
52
natural logarithm
a logarithm with base e
53
negative exponent
an exponent less than zero which causes the base and its exponent to move positions in a fraction
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 that is written using two or more expressions
57
point slope from
The point slope form equation is: y - y1 = m * (x - x1) , where: x1 , y1 are the coordinates of a point, and. m is the slope.
58
quadratic function
A function in which the greatest power of the variable is 2.
59
Radicand
the number under the radical sign
60
rate of change
A ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable.
61
rational exponent
represents both an integer exponent and an nth root
62
rational function
a function whose rule can be written as a rational expression
63
Rationalizing the denominator
to eliminate radicals from a denominator or fractions from a radicand
64
Recursive formula
each term is formulated from one or more previous terms
65
regressive line
A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables
66
relative maximum
A relative maximum is a point that is higher than the points directly beside it on both sides, and a relative minimum is a point that is lower than the points directly beside it on both sides.
67
relative minimum
A relative minimum of a function is all the points x, in the domain of the function, such that it is the smallest value for some neighborhood
68
root
a solution to an equation
69
scatter plot
A graph of plotted points that show the relationship between two sets of data that do not depend on each other where the line is not connected. (Ex. height versus weight)
70
sequence
In mathematics, a sequence. A sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function. Sequences can be both finite and infinite.
71
set builder notation
a concise way of writing a solution set
72
step function
a function whose graph is a series of line segments
73
synthetic division
a method used to divide a polynomial by a binomial
74
vertex form
y=a(x-h)^2+k
75
vertical line test
a visual way to determine if a curve is a graph of a function or not.
76
zeros
the values of x that make a quadratic equation equal zero