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Math > Algebra 2 Final Vocab > Flashcards

Algebra 2 Final Vocab Flashcards

1
Q

Base

A

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

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2
Q

Binomial

A

A polynomial with two terms.

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3
Q

Combined variation

A

A relationship containing both direct and inverse variation.

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4
Q

Common logarithm

A

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

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5
Q

Completing the square

A

A process used to form a perfect square trinomial.

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6
Q

Complex conjugate

A

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

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7
Q

Complex fraction

A

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

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8
Q

Complex number

A

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

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9
Q

Constant of variation

A

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

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10
Q

Degree of a monomial

A

The sun of the exponents of the variables in the monomial

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11
Q

Degree of a polynomial

A

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

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12
Q

Direct variation

A

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

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13
Q

Discriminant

A

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

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14
Q

End behavior

A

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

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15
Q

Exponent

A

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

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16
Q

Exponential decay

A

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

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17
Q

Exponential equation

A

An equation that contains one or more exponential expressions.

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18
Q

Exponential function

A

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

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19
Q

Exponential growth

A

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.

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20
Q

Exponential regression

A

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

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21
Q

Exponential solution

A

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

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22
Q

Hole ( in a graph )

A

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

23
Q

Imaginary unit

A

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

24
Q

Index

A

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.

25
Q

Asymptote

A

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

26
Q

Inverse function

A

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).

27
Q

Inverse relation

A

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

28
Q

Inverse variation

A

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

29
Q

Joint variation

A

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

30
Q

Leading coefficient

A

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

31
Q

Local maximum

A

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

32
Q

Local minimum

A

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.

33
Q

Logarithm

A

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

34
Q

Logarithmic equation

A

An equation that contains a logarithm of a variable

35
Q

Logarithmic function

A

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

36
Q

Logarithmic regression

A

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

37
Q

Maximum value

A

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

38
Q

Minimum value

A

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

39
Q

Monomial

A

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

40
Q

Natural logarithm

A

A logarithm with base e, written as In

41
Q

Parent function

A

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

42
Q

Polynomial

A

A monomial or a sum or difference of monomial a

43
Q

Polynomial function

A

a function whose rule is a polynomial

44
Q

Radical equation

A

An equation that contains a variable with a radical

45
Q

Radical function

A

A function whose rule contains a variable with a radical

46
Q

Radical inequality

A

An inequality that contains a variable with a radical

47
Q

Rational equation

A

An equation that contains one or more rational expressions

48
Q

Rational expression

A

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

49
Q

Ration function

A

A function whose rule can be written as a rational expression

50
Q

Rational inequality

A

An inequality that contains one or more rational expressions

51
Q

Root of an equation

A

Any value of the variable that makes the equation true

52
Q

Square root function

A

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

53
Q

Synthetic division

A

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

Math (1 decks)

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