Final Vocab

Question 1

a sequence in which the difference of consecutive terms is constant

Answer 1

arithmetic sequence

Question 2

a line that a graph approaches more and more closely

Answer 2

asymptote

Question 3

log c a = log b a/log b c

Answer 3

change of base

Question 4

a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).

Answer 4

circle

Question 5

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 (when the rest of the variables are held constant)

Answer 5

combined variation

Question 6

the constant difference d between consecutive terms of an arithmetic sequence

Answer 6

common difference

Question 7

a log with a base 10, denoted as log10 or simply by log

Answer 7

common log

Question 8

the constant ratio r between consecutive terms of a geometric sequence

Answer 8

common ratio

Question 9

to add a term c to an expression of the form x^2+bx such that x^2+bx+c is a perfect square

Answer 9

completing the square

Question 10

pairs of complex numbers of the forms a + bi and a-bi where b isn’t 0

Answer 10

complex conjugate

Question 11

a fraction that contains a fraction in it’s denominator or numerator

Answer 11

complex fraction

Question 12

a number written in the form a+bi where a and b are real numbers

Answer 12

complex number

Question 13

an operation that can be preformed with to functions

Answer 13

composition of functions

Question 14

a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time

Answer 14

compound inequality

Question 15

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

Answer 15

conic section

Question 16

unchanging in nature, standard, or effect over time

Answer 16

constant

Question 17

the constant a in the inverse variation equation y=a/x where a isn’t 0

Answer 17

constant of variation

Question 18

all reals

Answer 18

continuous relation

Question 19

a number r from -1 to 1 that measures how well a line fits a set of data pair

Answer 19

correlation coefficient

Question 20

the one that depends on the value of some other number

Answer 20

dependent

Question 21

the dimensions of a matrix with m rows and n columns are m by n

Answer 21

dimensions of a matrix

Question 22

describes a simple relationship between two variables

Answer 22

direct variation

Question 23

the expression b^2 - 4ac in the Quadratic formula

Answer 23

discriminant

Question 24

a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant

Answer 24

ellipse

Question 25

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

Answer 25

end behavior

Question 26

a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant

Answer 26

exponential equation

Question 27

solution that are not solutions of the original equation

Answer 27

extraneous solution

Question 28

any point at which the value of a function is largest (a maximum) or smallest (a minimum)

Answer 28

extrema

Question 29

factoring polynomials "completely"

Answer 29

factor theorem

Question 30

a list of terms in a specific order, following a sequence

Answer 30

finite sequence

Question 31

a binary relation between two sets that associates to each element of the first set exactly one element of the second set.

Answer 31

function

Question 32

a sequence in which the ratio of any term to the previous term is constant

Answer 32

geometric sequence

Question 33

a function that returns a constant value for each specific interval

Answer 33

greatest integer function

Question 34

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

Answer 34

growth sequence

Question 35

an open curve with two branches, the intersection of a plane with both halves of a double cone

Answer 35

hyperbola

Question 36

a function that always returns the same value that was used as its argument

Answer 36

identity function

Question 37

i

Answer 37

imaginary unit

Question 38

no solution

Answer 38

inconsistent

Question 39

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

Answer 39

independent

Question 40

a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integer s

Answer 40

infinite sequence

Question 41

a way to describe continuous sets of real numbers by the numbers that bound them

Answer 41

interval notation

Question 42

functions that undo each other

Answer 42

inverse function

Question 43

the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function

Answer 43

inverse relation

Question 44

x and y when y=a/x

Answer 44

inverse variation

Question 45

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

Answer 45

joint variation

Question 46

the chord through the focus, and parallel to the directrix

Answer 46

latus rectum

Question 47

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

Answer 47

linear programming

Question 48

the inverse function to exponentiation

Answer 48

logarithm

Question 49

a common s shaped curve in a log model

Answer 49

logistic growth model

Question 50

a rectangular arrangement of numbers

Answer 50

matrix

Question 51

for an integer h greater than 1 if b^n =a then b is the nth root of a

Answer 51

nth root

Question 52

a log with base e denoted by log e or ln

Answer 52

natural log

Question 53

the base is on the wrong side of the fraction line, so you need to flip the base to the other side

Answer 53

negative exponent

Question 54

the graph of a quadratic function

Answer 54

parabola

Question 55

the most basic function in a group of functions

Answer 55

parent function

Question 56

a function defined by two or more functions

Answer 56

piece-wise defined function

Question 57

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

Answer 57

point slope form

Question 58

a function that can be written in the form f(x)= a(x-h)^2+k

Answer 58

quadratic function

Question 59

The value inside the radical symbol

Answer 59

radicand

Question 60

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

Answer 60

rate of change

Question 61

the power to which the radicand is raised becomes the numerator and the root becomes the denominator

Answer 61

rational exponent

Question 62

a function that contains radical expression with the independent variable in the radicand

Answer 62

rational function

Question 63

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

Answer 63

rationalizing the denominator

Question 64

defines each term of a sequence using preceding term(s)

Answer 64

recursive formula

Question 65

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

Answer 65

regression line

Question 66

a point that is higher than the points directly beside it on both sides

Answer 66

relative maximum

Question 67

a point that is lower than the points directly beside it on both sides

Answer 67

relative minimum

Question 68

a solution of an equation

Answer 68

root

Question 69

a set of data graphed as an ordered pairs in a coordinate

Answer 69

scatter plot

Question 70

an ordered list of numbers

Answer 70

sequence

Question 71

uses symbols to define a set, in terms of properties of the members of the set

Answer 71

set builder notation

Question 72

a piece-wise function defined by a constant value over each part of its domain

Answer 72

step function

Question 73

a shortcut method to divide a polynomial by a binomial

Answer 73

synthetic division

Question 74

a quadratic function written in the form f(x)=a(x-h)^2+k

Answer 74

vertex form

Question 75

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

Answer 75

vertical line test

Question 76

any x-value of a function of f for which f(x)=0

Answer 76

zeros