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Honors Algebra 2 > Spring Finals Review > Flashcards

Spring Finals Review Flashcards

1
Q

Arithmetic Sequence

A

Each term increases by adding/subtracting some constant k

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2
Q

Asymptote

A

A line that continually approaches a given curve

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3
Q

Change of Base Formula

A

logb(a) = logx(a)/logx(b)

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4
Q

Circle

A

A round plane figure

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5
Q

Combined Variation

A

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, denoted as log10 or simply by log.

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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

a technique for converting a quadratic polynomial of the form ax^{2}+bx+c

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10
Q

Complex Conjugates

A

Pairs of complex numbers of the forms a + bi and a-bi, where b doesn’t equal 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 formed with 2 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 doesn’t equal 0

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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

Expressed using the variable r, where r is between 1 and –1, inclusive.

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20
Q

Dependent

A

The dependent variable is the one 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 by n.

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22
Q

Direct Variation

A

A simple relationship between two variables.

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23
Q

Ellipse

A

Plane curve surrounding two focal points, such that for all points on the curve (oval).

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24
Q

Exponential Equation

A

A function of the form y = ab^2, where a doesn’t equal 0, and the base b is a positive real number other than 1.

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25
End Behavior
The behavior of the graph of a function as x approaches +infinity or -infinity
26
Extraneous Solution
Solutions that are not solutions of the original behavior.
27
Extrema
The maximum or minimum value of a function.
28
Factor Theorem
A theorem linking factors and zeros of a polynomial.
29
Finite Sequence
A list of terms in a specific order.
30
Function
A relationship or expression involving one or more variables.
31
Geometric Sequence
A sequence in which the ratio of any term to the previous term is constant
32
Greatest integer function
a function that returns a constant value for each specific interval
33
Growth Factor
The value of b in an exponential growth function of the form y = ab^x, where a>0 and b > 1
34
Discriminant
The expression b^2 -4ac in the Quadratic Formula
35
Hyperbola
a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.
36
Identity Function
the function which assigns every real number to the same real number
37
Imaginary Unit
The square root of -1, denoted as i
38
Inconsistent
If a system has 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 integers
41
Interval Notation
way of writing subsets of the real number line
42
Inverse Function
a function that undoes the action of another function
43
Inverse Relation
the value of one parameter tends to decrease as the value of the other parameter in the relationship increases
44
Inverse Variation
Two variables x and y show inverse variation when y = a/x, where a doesn't equal 0
45
Joint Variation
variable varies directly or inversely with multiple variables.
46
Latus Rectum
the chord through a focus parallel to the conic section directrix
47
Linear Programming
technique for maximizing or minimizing a linear function of several variables
48
Logarithm
quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
49
Logistic growth Model
common S-shaped curve
50
Matrix
A rectangular arrangement of numbers
51
n^th root
For an integer n greater than 1, if b^n = a, then b is an nth root of a
52
Natural Logarithm
A logarithm with a base e
53
Negative Exponent
how many times to divide by the numbe
54
Parabola
Graph of a quadratic function
55
Parent Function
The most basic function in a family of function
56
Pieve-wise defined function
function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain
57
Point-Slope Form
y − y1 = m(x − x1), where m is the slope of the line
58
Quadratic Function
A function that can be written in t he form f(x) = a(x-h)^2 +k, where a doesn't equal 0
59
Radicand
what is inside the root sign
60
Rate of change
the percentage change in value over a defined period of time
61
Rational Exponent
the percentage change in value over a defined period of time
62
Rational Function
A function that has the form f(x) = p(x)/q(x), where p(x) and q(x) are plynomials and q(x) doesn't equal 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 a sequence using the preceding term(s)
65
Regression line
regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables
66
Relative Maximum
point where the function changes direction from increasing to decreasing
67
Relative Minimum
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 of an equation
69
Scatter Plot
a graph in which the values of two variables are plotted along two axes
70
Sequence
An ordered list of numbers
71
Set-Builder Notation
describing a set by enumerating its elements, or stating the properties that its members must satisfy
72
Step Function
a function that increases or decreases abruptly from one constant value to another.
73
Synthetic Division
A shortcut method to divide a polynomial by a binomial of the x - k
74
Vertical Line Test
visual way to determine if a curve is a graph of a function or not
75
Zeros
is a member x of the domain of f such that f(x) vanishes at x
76
Vertex Form
point where two or more curves, lines, or edges meet

Honors Algebra 2 (1 decks)

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