Algebra 2 Final Vocab Flashcards
Base
The number in a power that is used as a factor.
Binomial
A polynomial with two terms.
Combined variation
A relationship containing both direct and inverse variation.
Common logarithm
A logarithm whose base is 10, devoted log10 or just log.
Completing the square
A process used to form a perfect square trinomial.
Complex conjugate
The complex conjugate of any complex number a + bi, denoted a + bi, is a - bi.
Complex fraction
A fraction that contains one or more fractions in the numerator, the denominator, or both.
Complex number
Any number that can be written a + bi, where a and b are real numbers and i = square root of -1
Constant of variation
The constant k in direct, inverse, joint, and combines vacation equations.
Degree of a monomial
The sun of the exponents of the variables in the monomial
Degree of a polynomial
The degree of the term of the polynomial with the greatest degree.
Direct variation
A linear relationship between two variables, x and y, that can be written in the form y=kx, where k is a nonzero constant.
Discriminant
The Discriminant of the quadratic equation ax^2 + bx + c = 0 is b^2 - 4ac.
End behavior
The trends in y-values of a function as the x-values approach positive and negative infinity.
Exponent
The number that indicates how many times the base in a power is used as a factor.
Exponential decay
An exponential function of the form f(x) = ab^x in which 0
Exponential equation
An equation that contains one or more exponential expressions.
Exponential function
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
Exponential growth
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.
Exponential regression
A statistical method used to fit an exponential mode to a given data set.
Exponential solution
A solution of a derived equation that is not a solution of the original equation.
Hole ( in a graph )
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
Imaginary unit
The unit in the imaginary number system, square root of -1
Index
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.
Asymptote
A line that a graph approaches as the value of a variable becomes extremely large or small.
Inverse function
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).
Inverse relation
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
Inverse variation
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
Joint variation
A relationship among three variables that can be written in the form y=kxz, where j is a nonzero constant
Leading coefficient
The coefficient of the first term of a polynomial in standard form
Local maximum
For a function f,f(a) is a local maximum if there is an interval around a such that f(x)
Local minimum
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.
Logarithm
The exponent that a specified base must be raised to in order to get a certain value.
Logarithmic equation
An equation that contains a logarithm of a variable
Logarithmic function
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
Logarithmic regression
A statistical method used to fit a logarithmic model to a given data set
Maximum value
The y-value of the highest point on the graph of the function
Minimum value
The y-cavalier of the lowest point in the graph of the function
Monomial
A number or a product of numbers and variables with whole number exponents, or a polynomial with one term
Natural logarithm
A logarithm with base e, written as In
Parent function
The simplest function with the defining characters of the family. Functions in the same family are transformations of their parent function
Polynomial
A monomial or a sum or difference of monomial a
Polynomial function
a function whose rule is a polynomial
Radical equation
An equation that contains a variable with a radical
Radical function
A function whose rule contains a variable with a radical
Radical inequality
An inequality that contains a variable with a radical
Rational equation
An equation that contains one or more rational expressions
Rational expression
An algebraic expression whose numerator and denominator are polynomial and whose denominator has a degree greater or equal to 1
Ration function
A function whose rule can be written as a rational expression
Rational inequality
An inequality that contains one or more rational expressions
Root of an equation
Any value of the variable that makes the equation true
Square root function
A function whose rule contains a variable under a square root sign
Synthetic division
A shorthand method of dividing by a linear binomial of the form (x-a) by writing only the coefficients of the polynomial
