Final

Question 1

a sequence of numbers such that the difference between the consecutive terms is constant (list of numbers with a definite pattern)

Answer 1

Arithmetic sequence

Question 2

a line that continually approaches a given curve but does not meet it at any finite distance

Answer 2

Asymtote

Question 3

logba=logda/logdb (rewrite the log base 2 as a logarithm of any other base)

Answer 3

Change of base formula

Question 4

is a shape consisting of all points in a plane that are at a given distance from a given point

Answer 4

Circle

Question 5

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

Answer 5

Combined variation

Question 6

constant difference between consecutive terms of an arithmetic sequence

Answer 6

Common difference

Question 7

the logarithm with base 10

Answer 7

common logarithm

Question 8

the constant factor between consecutive terms of a geometric sequence

Answer 8

common ratio

Question 9

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

Answer 9

Completing the square

Question 10

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

Answer 10

complex conjugates

Question 11

a fraction in which the denominator and numerator or both contain fractions.

Answer 11

complex fraction

Question 12

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

Answer 12

complex number

Question 13

an operation that takes two functions f and g and produces a function h such that h(x) = g. ( applying one function to the results of another)

Answer 13

composition of fractions

Question 14

a sentence with two inequality statements joined either by the word “or” or by the word “and.”

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

system of equations in which at least one set of values for the unknowns that satisfies each equation in the system

Answer 16

consistent

Question 17

the constant (unchanged) ratio of two variable quantities

Answer 17

constant of variation

Question 18

a complete range of measurements from one extreme to the other

Answer 18

continuous variation

Question 19

values belonging to the set can take on ANY value within a finite or infinite interval (no interruptions)

Answer 19

continuous relation

Question 20

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

Answer 20

correlation coefficient

Question 21

reliant on another characteristic

Answer 21

dependent

Question 22

the number of rows by the number of columns

Answer 22

dimensions of a matrix

Question 23

describes a simple relationship between two variables

Answer 23

direct variation

Question 24

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

Answer 24

discriminant

Question 25

a plane curve surrounding two focal points

Answer 25

ellipse

Question 26

describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

Answer 26

end behavior

Question 27

equations in which variables occur as exponents.

Answer 27

exponential equation

Question 28

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.

Answer 28

extraneous solution

Question 29

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

Answer 29

extrema

Question 30

used when factoring polynomials "completely" (theorem linking factors and zeros of a polynomial)

Answer 30

factor theorem

Question 31

a list of terms in a specific order

Answer 31

finite sequence

Question 32

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

Answer 32

function

Question 33

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 33

geometric sequence

Question 34

function that returns a constant value for each specific interval

Answer 34

greatest integer function

Question 35

the factor by which a quantity multiplies itself over time

Answer 35

growth factor

Question 36

a type of smooth curve lying in a plane, defined by its geometric properties

Answer 36

hyperbola

Question 37

a function that always returns the same value

Answer 37

identity function

Question 38

a solution to the quadratic equation x² + 1 = 0. (i)

Answer 38

imaginary unit

Question 39

two or more equations that are impossible to solve based on using one set of values for the variables (system has no solution)

Answer 39

inconsistent

Question 40

a quantity that is being manipulated in an experiment

Answer 40

independent

Question 41

a sequence that keep on going and going

Answer 41

infinite sequence

Question 42

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

Answer 42

interval notation

Question 43

a function that "reverses" another function

Answer 43

inverse function

Question 44

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

Answer 44

inverse relation

Question 45

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

Answer 45

inverse variation

Question 46

occurs when a variable varies directly or inversely with multiple variables.

Answer 46

joint variation

Question 47

a compound of the Latin latus, meaning "side," and rectum, meaning "straight."

Answer 47

latus rectum

Question 48

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

Answer 48

linear programming

Question 49

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

Answer 49

logarithm

Question 50

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

Answer 50

logistic growth model

Question 51

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

Answer 51

matrix

Question 52

any of the n real or complex numbers r whose nth power is x

Answer 52

nth root

Question 53

a number is its logarithm to the base of the mathematical constant e (LN)

Answer 53

natural logarithm

Question 54

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

Answer 54

negative exponent

Question 55

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

Answer 55

parabola

Question 56

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

Answer 56

parent function

Question 57

a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain

Answer 57

peicewise defined function

Question 58

the general form y-y₁=m(x-x₁) for linear equations

Answer 58

point slope form

Question 59

a function of degree two. The graph of the function is a parabola

Answer 59

quadratic function

Question 60

the value inside the radical symbol

Answer 60

radicand

Question 61

the speed at which a variable changes over a specific period of time

Answer 61

rate of change

Question 62

an exponent that is a fraction

Answer 62

rational exponent

Question 63

any function which can be written as the ratio of two polynomial functions, where the polynomial in the denominator is not equal to zero

Answer 63

rational function

Question 64

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

Answer 64

rationalizing the denominator

Question 65

a formula that defines each term of a sequence using preceding terms

Answer 65

recursive formula

Question 66

represents the relationship between your independent variable and your dependent variable

Answer 66

regression line

Question 67

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

Answer 67

relative maximum

Question 68

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

Answer 68

relative minimum

Question 69

where a function equals zero

Answer 69

root

Question 70

a graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present

Answer 70

scatter plot

Question 71

a particular order in which related events, movements, or things follow each other

Answer 71

sequence

Question 72

describes or defines the elements of a set instead of listing the elements

Answer 72

set builder notation

Question 73

a mathematical function of a single real variable that remains constant within each of a series of adjacent intervals but changes in value from one interval to the next

Answer 73

step function

Question 74

a simplified method for dividing a polynomial by another polynomial

Answer 74

synthetic division

Question 75

given by y = a(x – h)2 + k, where (h, k) is the vertex

Answer 75

vertex form

Question 76

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

Answer 76

vertical line test

Question 77

the points where the graph of the quadratic equation crosses the x-axis

Answer 77

zeros