Final

Question 1

Arithmeic Sequence

Answer 1

A sequence in which the difference of consecutive terms is consant

Question 2

Asymptote

Answer 2

A line that a graph approaches more and more closely

Question 3

Change of Base formula

Answer 3

logb(x)= logd(x)/logd(b)

Question 4

Circle

Answer 4

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

Question 5

combined variation

Answer 5

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 d between consecutive terms of an arithmetic sequence.

Question 7

common logarithm

Answer 7

a logarithm with base 10, denoted as log subscript10 or simply by log.

Question 8

common ratio

Answer 8

The constant ratio r between consecutive terms of a geometric sequence

Question 9

completing the square

Answer 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 tirnomial

Question 10

complex conjugates

Answer 10

Pairs of complex numbers of the forms a+bi and a-bi, where b does not equal 0

Question 11

complex fraction

Answer 11

A fraction tht contains a fraction in its numerator and denominator.

Question 12

Complex number

Answer 12

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

Question 13

composition of functions

Answer 13

an operation that can be performed with two functions

Question 14

compound inequality

Answer 14

a sentence with 2 inequality statements joined either with 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

at least one set of values for the unkowns that satifies each equation in the system.

Question 17

constant of variation

Answer 17

the constant a in the inverse variation equation y= a/x, where a does not = 0

Question 18

continuous relation

Answer 18

a set of input values that consists of all numbers in an interval

Question 19

correlation coefficient

Answer 19

a number r from -1 to 1 that measures how well a line fits a set of datat pairs (x,y)

Question 20

dependent

Answer 20

the variable that depends on the value of some other number

Question 21

dimensions of a matrix

Answer 21

The dimensions of a matrix with m rows and n columns are m x n (read “m bt n”)

Question 22

direct variation

Answer 22

a simple relationship between two varables

Question 23

discriminat

Answer 23

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

Question 24

ellipse

Answer 24

a curve that is the locus of all points in the plane the sum of whose distances and from two fixed points.

Question 25

end behavior

Answer 25

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

Question 26

exponential equation

Answer 26

equation in whichvariable expressions occur as exponents

Question 27

extraneous soulution

Answer 27

solutions that are not solutions of the original equations

Question 28

extrema

Answer 28

the smallest and largest values

Question 29

factor theorem

Answer 29

reverse of the remainder theorem

Question 30

finite sequence

Answer 30

the differences of consecutive y-values in a data set when the x-values are equally spaced

Question 31

function

Answer 31

a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output

Question 32

geometric sequence

Answer 32

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

Question 33

greatest integer function

Answer 33

the function rounds-off the real number down to the integer less than the number.

Question 34

growth factor

Answer 34

the value of b in an exponential growth unction of the form y=ab^x, where a >0 and b>1

Question 35

hyperbola

Answer 35

a two branched open curve

Question 36

identity function

Answer 36

function which assigns every real number of the same real number

Question 37

Imaginary unit

Answer 37

the square root of -1, denoted is i=square root -1

Question 38

inconsistent

Answer 38

two or more equations that are impossible to solve based on using one set of values for the variables

Question 39

independent

Answer 39

quantity that's being manipulated in a series

Question 40

infinitive sequence

Answer 40

list or string of discrete objects that can be paired off one-ro-one with the set of positive integers.

Question 41

interval notation

Answer 41

a way to describe continuous sets of real numbers

Question 42

inverse function

Answer 42

functions that undo eachother

Question 43

inverse relation

Answer 43

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

Question 44

inverse variation

Answer 44

two variables x and y show inverse variation when y=a/x, where a does not = 0

Question 45

joint variation

Answer 45

when a variables varies directly or inversly with multiple variables

Question 46

Latus rectum

Answer 46

a conic section is the chord through a focus parallel to the conic section directrix

Question 47

Linear programming

Answer 47

a mathematical modeling technique in which a linear function is maximized or minimized when subjected to various canstraints

Question 48

logarithm

Answer 48

the power to chich a number must be raised in order to get some other number

Question 49

logistic growth model

Answer 49

a logarithm shown and plotted out on a graph

Question 50

matrix

Answer 50

a rectangular arrangement of numbers

Question 51

nth root

Answer 51

for an interger greater than 1 i f b=a, then b is an nth root of a

Question 52

natural logarithm

Answer 52

a logarithm with base e denoted by log*subscript*e or ln

Question 53

negative exponent

Answer 53

means how many times to divide by the number

Question 54

parabola

Answer 54

the graph of a quadratic function

Question 55

parent function

Answer 55

the most basic function in a family of functions

Question 56

piece-wise defined function

Answer 56

function that is not defined by a single equation but by two or more

Question 57

point-slope form

Answer 57

the equation of a straight line

Question 58

quadratic function

Answer 58

a function that can be written in the frm f(x)=a(x-h)^2+k, where a does not= 0