spring finals review

Question 1

arithmetic sequence

Answer 1

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

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

logb(a)=logx(a)/logx)a)

Question 4

circle

Answer 4

a round plane figure

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

Question 6

common difference

Answer 6

the constant difference between consecutiveterms of an arithmetic sequence

Question 7

common logarithim

Answer 7

a logorithim eith aa base of 10

Question 8

common ratio

Answer 8

the constant ratio between consecutive terms of a geometric sequence

Question 9

completing the square

Answer 9

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

fraction in which the denominator and numerator or both contain fractions

Question 12

complex number

Answer 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,

Question 13

composition of function

Answer 13

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

Question 14

compound inequality

Answer 14

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

Question 15

conic section

Answer 15

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

Question 16

consistent

Answer 16

unchanging in nature, standard, or effect over time

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 function that can take on any number within a certain interval

Question 19

correlation coefficient

Answer 19

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

Question 20

dependent

Answer 20

contingent on or determined by.

Question 21

dimensions of a matrix

Answer 21

The dimensions of a matrix are the number of rows by the number of columns

Question 22

direct variation

Answer 22

Direct variation describes a simple relationship between two variables

Question 23

discriminant

Answer 23

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

Question 24

ellipse

Answer 24

the set of all points on a plane whose distance from two fixed points F and G add up to a constant

Question 25

end behavior

Answer 25

describes the trend of the graph if we look to the right end of the x x xx-axis

Question 26

exponential equation

Answer 26

a function of the form | where b is a positive real number, and the argument x occurs as an exponent

Question 27

extraneous solution

Answer 27

a root of a transformed equation that is not a root of the original equation

Question 28

extrema

Answer 28

the maximum or minimum value of a function

Question 29

factor theorem

Answer 29

used when factoring polynomials

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

Question 32

geometric sequence

Answer 32

a sequence of non-zero numbers where each term after the first is found by multiplying the previous

Question 33

greatest integer function

Answer 33

a function that returns a constant value for each specific interval

Question 34

growth factor

Answer 34

A constant factor can be obtained by dividing each successive y-value by the previous y-value

Question 35

hyperbola

Answer 35

the intersection of a plane with two equal cones on opposites of the same vertex

Question 36

identity function

Answer 36

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

Question 37

imaginary unit

Answer 37

represented by i

Question 38

inconsistent

Answer 38

not repeating

Question 39

independent

Answer 39

apart from other things

Question 40

infinite sequence

Answer 40

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

Question 41

interval notation

Answer 41

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

Question 42

inverse function

Answer 42

find an inverse by reversing the "flow diagram"

Question 43

inverse relation

Answer 43

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

a situation where one variable depends on two (or more) other variables

Question 46

latus rectum

Answer 46

the chord through a focus parallel to the conic section directrix

Question 47

linear programming

Answer 47

a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.

Question 48

logarithm

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

Question 50

matrix

Answer 50

a rectangular array of numbers

Question 51

nth root

Answer 51

s a number r which, when raised to the power n, yields x: where n is a positive integer

Question 52

natural logarithm

Answer 52

its logarithm to the base of the mathematical constant e

Question 53

negative exponent

Answer 53

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

Question 55

parent function

Answer 55

the simplest function that still satisfies the definition of a certain type of function

Question 56

piece wise defined

Answer 56

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

Question 57

point slope form

Answer 57

is derived from the concept of finding the slope of a line when two points are given

Question 58

quadratic function

Answer 58

The general form of a quadratic function is f(x)=ax2+bx+c

Question 59

radicand

Answer 59

The number or expression that is written under a radical sign

Question 60

rate of change

Answer 60

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

Question 61

rational exponent

Answer 61

an exponent that is a fraction

Question 62

rational function

Answer 62

any function which can be written as the ratio of two polynomial functions

Question 63

rationalizing the denominator

Answer 63

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

line of best fit

Question 66

relative maximum

Answer 66

a point where the function changes direction from increasing to decreasing

Question 67

relative minimum

Answer 67

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

Question 68

root

Answer 68

Where a function equals zero

Question 69

scatter plot

Answer 69

graph of dots

Question 70

sequence

Answer 70

a repetition

Question 71

set builder notation

Answer 71

used to describe sets that are defined by a predicate

Question 72

step function

Answer 72

a function on the real numbers

Question 73

synthetic division

Answer 73

method of polynomial division in the special case of dividing by a linear factor

Question 74

vertex form

Answer 74

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

Question 75

verticle line test

Answer 75

used to test if something is a function

Question 76

zeros

Answer 76

intercepts