Algebra 2 Final Vocab

Question 1

Base

Answer 1

The number in a power that is used as a factor.

Question 2

Binomial

Answer 2

A polynomial with two terms.

Question 3

Combined variation

Answer 3

A relationship containing both direct and inverse variation.

Question 4

Common logarithm

Answer 4

A logarithm whose base is 10, devoted log10 or just log.

Question 5

Completing the square

Answer 5

A process used to form a perfect square trinomial.

Question 6

Complex conjugate

Answer 6

The complex conjugate of any complex number a + bi, denoted a + bi, is a - bi.

Question 7

Complex fraction

Answer 7

A fraction that contains one or more fractions in the numerator, the denominator, or both.

Question 8

Complex number

Answer 8

Any number that can be written a + bi, where a and b are real numbers and i = square root of -1

Question 9

Constant of variation

Answer 9

The constant k in direct, inverse, joint, and combines vacation equations.

Question 10

Degree of a monomial

Answer 10

The sun of the exponents of the variables in the monomial

Question 11

Degree of a polynomial

Answer 11

The degree of the term of the polynomial with the greatest degree.

Question 12

Direct variation

Answer 12

A linear relationship between two variables, x and y, that can be written in the form y=kx, where k is a nonzero constant.

Question 13

Discriminant

Answer 13

The Discriminant of the quadratic equation ax^2 + bx + c = 0 is b^2 - 4ac.

Question 14

End behavior

Answer 14

The trends in y-values of a function as the x-values approach positive and negative infinity.

Question 15

Exponent

Answer 15

The number that indicates how many times the base in a power is used as a factor.

Question 16

Exponential decay

Answer 16

An exponential function of the form f(x) = ab^x in which 0

Question 17

Exponential equation

Answer 17

An equation that contains one or more exponential expressions.

Question 18

Exponential function

Answer 18

A function of the form f(x) = ab^x where a and b are real numbers with a not equal to 0, b>0, and b not equal to 1

Question 19

Exponential growth

Answer 19

An exponential function of the form f(x) = ab^x in which b > 1. If r is the rate of growth, the. The function can be written y= a(1+r)^t , where a is the initial amount t is the time.

Question 20

Exponential regression

Answer 20

A statistical method used to fit an exponential mode to a given data set.

Question 21

Exponential solution

Answer 21

A solution of a derived equation that is not a solution of the original equation.

Question 22

Hole ( in a graph )

Answer 22

An omitted point on a graph. If a rational function has the same factor x-b in both the numerator and the denominator, and the line x = b is not a vertical asymptote, then there is a hole in the graph at the point where x = b

Question 23

Imaginary unit

Answer 23

The unit in the imaginary number system, square root of -1

Question 24

Index

Answer 24

In the radical ^n square root of x, which represents the nth root of x, n is the index. In the radical square root of x, the index is understood to be 2.

Question 25

Asymptote

Answer 25

A line that a graph approaches as the value of a variable becomes extremely large or small.

Question 26

Inverse function

Answer 26

The function that results from exchanging the input and output values of a one-to-one function. The inverse of f(x) is denoted f^-1(x).

Question 27

Inverse relation

Answer 27

The inverse of the relation consisting of all ordered pairs (x,y) is the set of all ordered pairs (y,x). The graph of an inverse of the reflection of the graph of the relation across the line y= x

Question 28

Inverse variation

Answer 28

A relationship between two variables, x and y, that can be written in the form y= k/x, where k is a nonzero constant and x does not equal zero

Question 29

Joint variation

Answer 29

A relationship among three variables that can be written in the form y=kxz, where j is a nonzero constant

Question 30

Leading coefficient

Answer 30

The coefficient of the first term of a polynomial in standard form

Question 31

Local maximum

Answer 31

For a function f,f(a) is a local maximum if there is an interval around a such that f(x)

Question 32

Local minimum

Answer 32

For a function f, f(a) is a local minimum if there is an interval around a such that f(x) > f(a) for every x-value in the interval except a.

Question 33

Logarithm

Answer 33

The exponent that a specified base must be raised to in order to get a certain value.

Question 34

Logarithmic equation

Answer 34

An equation that contains a logarithm of a variable

Question 35

Logarithmic function

Answer 35

A function of the form f(x) =log_10x, where b does not equal 1 and b>0, which is the inverse of the exponential function f(x) = b^x

Question 36

Logarithmic regression

Answer 36

A statistical method used to fit a logarithmic model to a given data set

Question 37

Maximum value

Answer 37

The y-value of the highest point on the graph of the function

Question 38

Minimum value

Answer 38

The y-cavalier of the lowest point in the graph of the function

Question 39

Monomial

Answer 39

A number or a product of numbers and variables with whole number exponents, or a polynomial with one term

Question 40

Natural logarithm

Answer 40

A logarithm with base e, written as In

Question 41

Parent function

Answer 41

The simplest function with the defining characters of the family. Functions in the same family are transformations of their parent function

Question 42

Polynomial

Answer 42

A monomial or a sum or difference of monomial a

Question 43

Polynomial function

Answer 43

a function whose rule is a polynomial

Question 44

Radical equation

Answer 44

An equation that contains a variable with a radical

Question 45

Radical function

Answer 45

A function whose rule contains a variable with a radical

Question 46

Radical inequality

Answer 46

An inequality that contains a variable with a radical

Question 47

Rational equation

Answer 47

An equation that contains one or more rational expressions

Question 48

Rational expression

Answer 48

An algebraic expression whose numerator and denominator are polynomial and whose denominator has a degree greater or equal to 1

Question 49

Ration function

Answer 49

A function whose rule can be written as a rational expression

Question 50

Rational inequality

Answer 50

An inequality that contains one or more rational expressions

Question 51

Root of an equation

Answer 51

Any value of the variable that makes the equation true

Question 52

Square root function

Answer 52

A function whose rule contains a variable under a square root sign

Question 53

Synthetic division

Answer 53

A shorthand method of dividing by a linear binomial of the form (x-a) by writing only the coefficients of the polynomial