Final Vocab Flashcards

1
Q

arithmetic sequence

A

sequence where the difference between each term is constant

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

asymptote

A

a line that continually approaches a given curve but does not meet it

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

change of base formula

A

log base b of a = log base d of a / log base d of b

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

circle

A

2D shape where all outer points are the same distance from the center

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

combined variation

A

when a variable depends on two or more other variables, and varies directly with some of them and varies inversely with others

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

common difference

A

constant difference between consecutive terms of an arithmetic sequence

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

common logarithm

A

logarithm with base 10

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
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
9
Q

completing the square

A

converting a quadratic trinomial to a binomial squared

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

complex conjugates

A

a pair of complex numbers a+bi and a-bi

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

complex fraction

A

a fraction that contains a fraction

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

complex number

A

any number that can be written in the form a+bi

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

composition of functions

A

operation between two functions

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

compound inequality

A

two inequalities joined by AND or OR

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

conic section

A

curve produced at the intersection of a cone and a plane; hyperbola, parabola, ellipse

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

consistent

A

a system of equations with at least one solution

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

constant of variation

A

number that relates two or more variables that are directly proportional, inversely proportional, or jointly proportional

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

continuous relation

A

data points connected by a line

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

correlation coefficient

A

a number between -1 and +1 that represents the linear dependence of two variables

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

dependent

A

the variable that changes based on the independent variable being changed

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

dimensions of a matrix

A

number of rows and columns in a matrix

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

direct variation

A

a simple relationship between two variables; when one variable increases, the other one does too

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

discriminant

A

part of the quadratic formula under the square root (b^2-4ac); positive: two real, zero: one solution, negative: two imaginary/complex roots

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

ellipse

A

regular oval shape where the sum of the distances between any point on the edge and the two foci is the same all the way around

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

end behavior

A

behavior of a graph as x approaches positive infinity or negative infinity

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

exponential equation

A

equations where variables occur as exponents

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
27
Q

extraneous solution

A

root of an equation that does not fit into the original equation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
28
Q

extrema

A

maximum or minimum value of a function

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
29
Q

factor theorem

A

zero product property

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
30
Q

finite sequence

A

list of terms in order with a first term and a last term following a certain pattern

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
31
Q

function

A

relation between two variables

32
Q

geometric sequence

A

sequence of numbers where each term is multiplied by a common ratio to get the next term

33
Q

greatest integer function

A

function that returns a constant value for each specific interval

34
Q

growth factor

A

factor by which a quantity multiplies itself over time

35
Q

hyperbola

A

set of all points such that the difference of the distances between a point and the foci is constant

36
Q

identity function

A

function that always outputs the same value input

37
Q

imaginary unit

A

square root of -1

38
Q

inconsistent

A

a system of equations with no solutions

39
Q

independent

A

a consistent system of equations with exactly one solution

40
Q

interval notation

A

a way to describe continuous sets of real numbers using parentheses/brackets and the numbers on each extreme

41
Q

inverse function

A

represented as f of -1 and found by switching the x and y in a function and solving for y

42
Q

inverse relation

A

a set of ordered pairs where the x and y values from the original set are swapped

43
Q

inverse variation

A

a relation between two variables where one variable increase as the other decreases, and vice versa

44
Q

joint variation

A

a relation where one variable depends on two or more other variables, and varies directly as each of them when the others are held constant

45
Q

latus rectum

A

chord that passes through the focus of a conic section and is parallel to the directrix

46
Q

linear programming

A

a method to achieve the best outcome in a mathematical model whose requirements are represented by linear relationships

47
Q

logarithm

A

a quantity representing the power to which the base must be raised to produce a given number

48
Q

logistic growth model

A

s shaped curve

49
Q

matrix

A

a rectangular array of values for which operations such as addition and multiplication are defined

50
Q

nth root

A

the nth root of x is r

51
Q

natural logarithm

A

logarithm to the base e

52
Q

negative exponent

A

flips the base

53
Q

parabola

A

symmetrical curve formed by the intersection of a cone with a plane parallel to its side

54
Q

parent function

A

simplest function of a family of functions that preserves the definition of the entire family

55
Q

piece-wise defined function

A

a function that is defined by two or more equations

56
Q

point-slope form

A

y-y1=m(x-x1)

57
Q

quadratic function

A

a polynomial function in which the highest-degree term is of the second degree

58
Q

radicand

A

the value inside the radical symbol

59
Q

rate of change

A

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

60
Q

rational exponent

A

an exponent that is a function

61
Q

rational function

A

any function which can be defined by a rational fraction

62
Q

rationalizing the denominator

A

eliminating any radical expressions in the denominator

63
Q

recursive formula

A

a formula that defines each term of a sequence using preceding terms and must always state the initial term

64
Q

regression line

A

line of best fit

65
Q

relative maximum

A

the highest point in a particular section of a graph

66
Q

relative minimum

A

the lowest point in a particular section of a graph

67
Q

root

A

values of a variable for which a polynomial equals zero

68
Q

scatter plot

A

a graph in which the values of two variables are plotted along two axes, showing any correlation present between them

69
Q

sequence

A

a list of numbers in a specific order

70
Q

set-builder notation

A

describes a set by stating the properties it must satisfy

71
Q

step function

A

a piece-wise constant function having only finitely many pieces

72
Q

synthetic division

A

dividing polynomials using less writing and calculation than long division

73
Q

vertex form

A

y=a(x-h)^2+k, where (h,k) is the vertex

74
Q

vertical line test

A

method to determine whether a relation is a function or not

75
Q

zeros

A

a value of x that, when plugged into a function, outputs zero