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Honors Algebra II > Algebra II terms > Flashcards

Algebra II terms Flashcards

1
Q

A sequence in which the difference of consecutive terms is constant

A

Arithmetic sequence

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2
Q

A line that a graph approaches more and more closely

A

Asymptote

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3
Q

Log base a is equal to log base d of a divided by log base d of b

A

Change of base formula

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4
Q

A shape with no edges and points are equidistant

A

Circle

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5
Q

A variable depends on two or more other variables

A

Combined variation

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6
Q

The constant difference between consecutive terms of an arithmetic sequence

A

Common difference

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7
Q

a logarithm to the base 10.

A

Common logarithm

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8
Q

the ratio between a term and the term preceding it

A

Common ratio

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9
Q

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

A

completing the square

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10
Q

each of two complex numbers having their real parts identical and their imaginary parts of equal magnitude but opposite sign. a+bi, a-bi

A

complex conjugates

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11
Q

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

A

complex fraction

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12
Q

a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol called the imaginary unit, and satisfying the equation i2 = −1.

A

Complex number

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13
Q

an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x))

A

Composition of functions

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14
Q

an inequality that combines two simple inequalities.

A

Compound inequality

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15
Q

a figure formed by the intersection of a plane and a right circular cone. Depending on the angle of the plane with respect to the cone, a conic section may be a circle, an ellipse, a parabola, or a hyperbola.

A

Conic section

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16
Q

if there is at least one set of values for the unknowns that satisfy each equation in the system

A

Consistent

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17
Q

the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y=kx (or y=kx )

A

constant of variation

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18
Q

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

A

continuous relation

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19
Q

a number between −1 and +1 calculated so as to represent the linear dependence of two variables or sets of data.

A

correlation coefficient

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20
Q

the one that depends on the value of some other number

A

dependent

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21
Q

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

A

dimensions of a matrix

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22
Q

describes a simple relationship between two variables . We say y varies directly with x if: y=kx. for some constant k

A

direct variation

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23
Q

a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial. b2-4ac

A

discriminant

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24
Q

a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane which does not intersect the base.

A

ellipse

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25
Q

the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

A

end behavior

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26
Q

a function of the form f(x)=ab^{x} where b is a positive real number, and the argument x occurs as an exponent

A

exponential equation

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27
Q

a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem

A

extraneous solution

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28
Q

the maximum or minimum value of a function.

A

. extrema

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29
Q

a theorem linking factors and zeros of a polynomial. The theorem states that a polynomial f(x) has a factor if and only if f(k)=0.

A

factor theorem

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30
Q

A sequence that has a limited number of terms

A

finite sequence

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31
Q

a relationship or expression involving one or more variables.

A

. function

32
Q

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

A

geometric sequence

33
Q

a function that returns a constant value for each specific interval

A

greatest integer function

34
Q

the factor by which a quantity multiplies itself over time. The rate is the addend by which a quantity increases (or decreases) over time

A

growth factor

35
Q

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.

A

hyperbola

36
Q

a function that always returns the same value that was used as its argument. That is, for f being identity, the equality f(x) = x holds for all x

A

identity function

37
Q

a solution to the quadratic equation x² + 1 = 0

A

imaginary unit

38
Q

If a system has no solution,

A

inconsistent

39
Q

a variable that represents a quantity that is being manipulated in an experiment

A

independent

40
Q

a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integers 1, 2, 3,

A

infinite sequence

41
Q

a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval that contains 0, 1, and all numbers in between

A

interval notation

42
Q

a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y).

A

inverse function

43
Q

An inverse relationship is the reverse of another or when one variable factor increases, the other decreases.

A

inverse relation

44
Q

mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

A

inverse variation

45
Q

when a variable varies directly or inversely with multiple variables. For instance, if x varies directly with both y and z, we have x = kyz.

A

joint variation

46
Q

a chord of a conic section (such as an ellipse) that passes through a focus and is parallel to the directrix.

A

latus rectum

47
Q

a mathematical technique for maximizing or minimizing a linear function of several variables, such as output or cost.

A

linear programming

48
Q

a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

A

logarithm

49
Q

a common S-shaped curve , the x value of the sigmoid’s midpoint; L, the curve’s maximum value; k, the logistic growth rate or steepness of the curve. x and y axes increase

A

logistic growth model

50
Q

a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns.

A

matrix

51
Q

An nth root of a number x, where n is a positive integer, is any of the n real or complex numbers r whose nth power is x

A

nth root

52
Q

a logarithm to the base e (2.71828…).

A

natural logarithm

53
Q

how many times to divide by the number.

A

negative exponent

54
Q

a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.

A

parabola

55
Q

the simplest function of a family of functions that preserves the definition (or shape) of the entire family

A

parent function

56
Q

one which is defined not by a single equation, but by two or more. Each equation is valid for some interval

A

piece wise defined function

57
Q

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

A

slope form

58
Q

a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree

A

quadratic function

59
Q

The value inside the radical symbol.

A

radicand

60
Q

a rate that describes how one quantity changes in relation to another quantity

A

rate of change

61
Q

an exponent that is a fraction.

A

rational exponent

62
Q

any function which can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.

A

rational function

63
Q

to eliminate any radical expressions in the denominator such as square roots and cube roots.

A

rationalizing the denominator

64
Q

a formula that defines each term of a sequence using preceding term(s).

A

recursive formula

65
Q

a line that best describes the behavior of a set of data

A

regression line

66
Q

a point where the function changes direction from increasing to decreasing

A

relative maximum

67
Q

all the points x, in the domain of the function, such that it is the smallest value for some neighborhood

A

relative minimum

68
Q

a solution to an equation, usually expressed as a number or an algebraic formula.

A

root

69
Q

a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.

A

scatter plot

70
Q

an enumerated collection of objects in which repetitions are allowed and order matters

A

sequence

71
Q

a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

A

set builder notation

72
Q

a function that increases or decreases abruptly from one constant value to another.

A

step function

73
Q

a shorthand, or shortcut, method of polynomial division in the special case of dividing by a linear factor

A

synthetic division

74
Q

a point where two or more curves, lines, or edges meet.

A

vertex form

75
Q

a method that is used to determine whether a given relation is a function or not.

A

vertical line test

76
Q

a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is the solution to the equation f(x) = 0.

A

zeros

Honors Algebra II (1 decks)

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