Brainscape's Knowledge GenomeTM


Top Flashcards (Certified)
All Flashcards

Honors Algebra II > Final > Flashcards

Final Flashcards

(76 cards)

Start Studying
1
Q

arithmetic sequence

A

a sequence in which the difference of consecutive terms is constant

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

asymptote

A

a line that a graph approaches more and more closely

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

common difference

A

the common difference d between consecutive terms of an arithmetic sequence

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

common logarithm

A

the logarithm with base 10

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

common ratio

A

constant factor between consecutive terms of a geometric sequence

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

completing the square

A

a technique for converting a quadratic polynomial of the form ax^{2}+bx+c to the form a^{2}+k} for some values of h and k

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

complex conjugates

A

the number with an equal real part and an imaginary part equal in magnitude but opposite in sign

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

complex fraction

A

a fraction in which numerator, denominator, or both are themselves fractions

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

complex number

A

a number that can be expressed in the form a + bi

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

composition of function

A

an operation that takes two functions f and g and produces a function h

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

compound inequality

A

an inequality that combines two simple inequalities

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

conic section

A

a curve obtained as the intersection of the surface of a cone with a plane

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

consistent

A

a linear or nonlinear system of equations

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

constant of variation

A

the constant ratio of two variable quantities

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

continuous relation

A

if the values belonging to the set can take on ANY value within a finite or infinite interval

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

correlation coefficiant

A

a number that is a measure of the strength and direction of the correlation between two variables

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

dependent

A

the one that depends on the value of some other number

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

dimensions of a matrix

A

the number of rows by the number of columns, if a matrix has a rows and b columns, it is an a×b matrix

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

direct variation

A

mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

discriminant

A

a quantity that depends on the coefficients and determines various properties of the roots

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

elipse

A

a plane curve surrounding two focal points, such that for all points on the curve

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

end behavior

A

a function f describes the behavior of the graph of the function at the “ends” of the x-axis

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

exponential equation

A

a function of the form f(x)=ab^{x}

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

extraneous solution

A

a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
extrema
any point at which the value of a function is largest
26
factor theorem
the factor theorem is a theorem linking factors and zeros of a polynomial
27
finite sequence
a list of terms in a specific order
28
function
a binary relation between two sets that associates to each element of the first set exactly one element of the second set
29
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
30
greatest integer function
the function rounds -off the real number down to the integer less than the number
31
growth factor
the factor by which a quantity multiplies itself over time
32
hyperbola
a hyperbola is a type of smooth curve lying in a plane
33
identity function
a function that always returns the same value that was used as its argument
34
imaginary unit
a solution to the quadratic equation x² + 1 = 0
35
inconsistent
when you graph the equations, both equations represent the same line, if a system has no solution
36
independent
a variable that represents a quantity that is being manipulated in an experiment
37
infinite sequence
a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integers
38
interval notation
a set of real numbers that contains all real numbers lying between any two numbers of the set
39
inverse function
a function that "reverses" another function
40
inverse relation
the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function
41
change of base formula
a formula that allows you to rewrite a logarithm in terms of logs written with another base
42
inverse variation
mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant
43
joint variation
occurs when a variable varies directly or inversely with multiple variables
44
latus rectum
the chord through a focus parallel to the conic section directrix
45
linear programming
modeling technique in which a linear function is maximized or minimized when subjected to various constraints
46
logarithm
the logarithm is the inverse function to exponentiation
47
logistic growth model
a population's per capita growth rate gets smaller and smaller as population size approaches a maximum imposed by limited resources in the environment, known as the carrying capacity ( K)
48
matrix
a rectangular array or table of numbers, symbols, or expressions,
49
nth root
a number x is a number r which, when raised to the power n, yields r^{n}=x, where n is a positive integer,
50
natural logarithm
its logarithm to the base of the mathematical constant e
51
negative exponent
means how many times to divide by the number.
52
parabola
a parabola is a plane curve which is mirror-symmetrical and is approximately u-shaped
53
parent function
the simplest function of a family of functions that preserves the definition of the entire family
54
piece - wise defined function
defined by multiple sub-functions, where each sub-function applies to a different interval in the domain
55
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
56
quadratic function
a polynomial function with one or more variables in which the highest-degree term is of the second degree
57
radicand
the value inside the radical symbol, the value you want to take the root of. In √x, "x"
58
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
59
rational exponent
an exponent that is a fraction
60
rational function
any function which can be defined by a rational fraction
61
rationalizing the denominator
means to eliminate any radical expressions in the denominator such as square roots and cube roots
62
recursive formula
a formula that defines each term of a sequence using preceding terms
63
regression line
an estimate of the line that describes the true, but unknown, linear relationship between the two variables
64
relative maximum
a point where the function changes direction from increasing to decreasing
65
relative minimum
all the points x, in the domain of the function
66
root
a number x is another number, which when multiplied by itself a given number of times, equals x
67
scatter plot
a type of plot or mathematical diagram using cartesian coordinates to display values for typically two variables for a set of data
68
sequence
is an enumerated collection of objects in which repetitions are allowed and order matters
69
set - builder notation
a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy
70
step function
a function on the real numbers
71
synthetic division
a method for manually performing euclidean division of polynomials
72
vertex form
a point where two or more curves, lines, or edges meet
73
vertical line test
a visual way to determine if a curve is a graph of a function or not
74
zeros
of a real-, complex-, or generally vector-valued function
75
circle
a shape consisting of all points in a plane that are at a given distance from a given point
76
combined variation
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

Honors Algebra II (2 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2025 Bold Learning Solutions. Terms and Conditions