final

Question 1

arithmetic sequence

Answer 1

a sequence in which the difference if consecutive terms is constant

Question 2

asymptote

Answer 2

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

Question 3

change of base formula

Answer 3

A formula that allows you to rewrite a logarithm in terms of logs written with another base. This is especially helpful when using a calculator to evaluate a log to any base other than 10 or e.

Question 4

circle

Answer 4

Circle helps businesses and developers harness the power of digital dollar stablecoins for payments and internet commerce worldwide.

Question 5

combined variation

Answer 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).

Question 6

common difference

Answer 6

The constant difference between consecutive terms of an arithmetic sequence is called the common difference

Question 7

common logarithm

Answer 7

Log[10, x] and Log10[x].

Question 8

common ratio

Answer 8

The constant factor between consecutive terms of a geometric sequence

Question 9

completing the square

Answer 9

a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial

Question 10

complex conjugates

Answer 10

Each of two complex numbers having their real parts identical and their imaginary parts of equal magnitude but opposite sign

Question 11

complex fraction

Answer 11

be defined as a fraction in which the denominator and numerator or both contain fractions

Question 12

complex number

Answer 12

a complex number is 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.

Question 13

composition of function

Answer 13

applying one function to the results of another. (g º f)(x) = g(f(x)), first apply f(), then apply g() We must also respect the domain of the first

Question 14

compound inequality

Answer 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.

Question 15

conic section

Answer 15

a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse

Question 16

consistent

Answer 16

inear or nonlinear system of equations

Question 17

constant of variation

Answer 17

a direct variation is the constant (unchanged) ratio of two variable quantities.

Question 18

continuous relation

Answer 18

A partial function that is continuous on its domain is continuous as a relation iff its domain is closed.

Question 19

correlation coeifficent

Answer 19

are used to measure how strong a relationship is between two variables

Question 20

dependent

Answer 20

variable is the one that depends on the value of some other number. If, say, y = x+3, then the value y can have depends on what the value of x is.

Question 21

dimensions of a matrix

Answer 21

are the number of rows by the number of columns

Question 22

direct variation

Answer 22

describes a simple relationship between two variables .

Question 23

discriminant

Answer 23

the part of the quadratic formula underneath the square root symbol: b²-4ac.

Question 24

ellipse

Answer 24

is the set of points in a plane such that the sum of the distances from two fixed points in that plane stays constant

Question 25

end behavior

Answer 25

a function f describes the behavior of the graph of the function at the "ends" of the x-axis.

Question 26

exponential equation

Answer 26

are in the form ax=by

Question 27

extraneous solution

Answer 27

extraneous solution

Question 28

extrema

Answer 28

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

Question 29

factor theorem

Answer 29

used when factoring polynomials "completely

Question 30

finite sequence

Answer 30

a list of terms in a specific order.

Question 31

function

Answer 31

a process or a relation that associates each element x of a set X, the domain of the function

Question 32

geometric sequence

Answer 32

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.

Question 33

greatest integer function

Answer 33

a constant value for each specific interval.

Question 34

growth factor

Answer 34

Growth rate is the addend by which a quantity increases (or decreases) over time.

Question 35

hyperbola

Answer 35

two curves that are like infinite bows

Question 36

identity function

Answer 36

the equality f(x) = x holds for all x.

Question 37

imaginary unit

Answer 37

(i)

Question 38

inconsistent

Answer 38

two or more equations that are impossible to solve based on using one set of values for the variables, x+2=4 and x+2=6.

Question 39

independent

Answer 39

a quantity that is being manipulated in an experiment. x is often the variable used to represent the independent variable in an equation.

Question 40

infinite sequence

Answer 40

paired off one-to-one with the set of positive integer s {1, 2, 3, ...}.

Question 41

interval notation

Answer 41

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

Question 42

inverse function

Answer 42

The inverse is usually shown by putting a little "-1" after the function name, like this: f-1(y)

Question 43

inverse relation

Answer 43

the inverse relation of a binary relation is the relation that occurs when the order of the elements is switched in the relation.

Question 44

inverse variation

Answer 44

can be represented by the equation xy=k or y=kx

Question 45

joint variation

Answer 45

as x and y if. z=kxy. for some constant k.

Question 46

latus rectum

Answer 46

of a conic section is the chord through a focus parallel to the conic section directrix (Coxeter 1969).

Question 47

linear programming

Answer 47

is a method to achieve the best outcome (such as maximum profit or lowest cost

Question 48

logarithms

Answer 48

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

Question 49

logistic growth model

Answer 49

is approximately exponential at first, but it has a reduced rate of growth as the output approaches the model's upper bound, called the carrying capacity

Question 50

matrix

Answer 50

a rectangular array of numbers

Question 51

nth root

Answer 51

a number x is a number r which, when raised to the power n, yields x: where n is a positive integer, sometimes called the degree of the root

Question 52

natural logarithm

Answer 52

ln x, loge x, or sometimes, if the base e is implicit, simply log x.

Question 53

negative exponent

Answer 53

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

Question 54

parabola

Answer 54

A parabola is a curve where any point is at an equal distance from:

Question 55

parent function

Answer 55

A parent function is the simplest function of a family of functions.

Question 56

piece-wise defined function

Answer 56

A piecewise-defined function is one which is defined not by a single equation, but by two or more.

Question 57

point-slope form

Answer 57

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

Question 58

quadratic function

Answer 58

The general form of a quadratic function is f(x)=ax2+bx+c where a, b, and c are real numbers and a≠0.

Question 59

radicand

Answer 59

The value inside the radical symbol. The value you want to take the root of.

Question 60

rate of change

Answer 60

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

Question 61

rational exponent

Answer 61

exponent that is a fraction

Question 62

rational function

Answer 62

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

Question 63

rationalizing the denominator

Answer 63

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

Question 64

recursive formula

Answer 64

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

Question 65

regression line

Answer 65

is represented by an equation

Question 66

relative maximum

Answer 66

point is a point where the function changes direction from increasing to decreasing

Question 67

relative minimum

Answer 67

the very bottom of the line before it starts to go up again

Question 68

root

Answer 68

Where a function equals zero

Question 69

scatter plot

Answer 69

is a two-dimensional graphical representation of a set of data.

Question 70

sequence

Answer 70

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing...

Question 71

set-builder notation

Answer 71

How to describe a set by saying what properties its members have. ... A Set is a collection of things (usually numbers).

Question 72

step function

Answer 72

have lines with an open circle on one end and a closed circle on the other to indicate inclusion, like number line inequality graphs.

Question 73

synthetic division

Answer 73

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

Question 74

vertex form

Answer 74

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

Question 75

vertical line test

Answer 75

a thing to make sure the graph is linear

Question 76

zeros

Answer 76

Where a function equals the value zero (0).