Algebra 2 Defintions
Compression
A force that pushes on or squeezes a material.
Binomial Theorem
A way in which to write binomials in expanded form
Function Rule
An algebraic expression that defines a function
Confidence Interval
The range of values within which a population parameter is estimated to lie.
Coterminal Angles
Two angles in standard position that have the same terminal side
Even Function
graph is symmetrical with respect to the y-axis; f(x) = f(-x)
Constraint
limitation or restriction
Complex Conjugate
(a+bi) and (a-bi)
Decay Factor
1 minus the percent rate of change, expressed as a decimal, for an exponential decay situation.
Conjugate Axis
2b
Census
A complete enumeration of a population.
Explicit Formula
A formula that allows direct computation of any term for a sequence a1, a2, a3, . . . , an, . . . .
Complex Fraction
A fraction that contains one or more fractions in its numerator or denominator.
Continuous Function
A function whose graph is unbroken
Absolute-Value Function
A function whose rule contains absolute-value expressions
Asymptote
A line that a graph approaches
Axis of Symmetry
A line that divides a figure in half so that each half is the mirror image of the other
Common Logarithm
A logarithm with base 10
Augmented Matrix
A matrix that consists of the coefficients and the constant terms in a system of linear equations.
Complex Plane
A plane with a real axis and an imaginary axis.
Binomial
A polynomial with two terms
Geometric Probability
A probability that involves a geometric measure such as length or area.
Completing the Square
A process used to form a perfect square trinomial.
Fundamental Counting Principle
A quick way to show the total number of possible outcomes of compound events
Biased Sample
A sample drawn in such a way that one or more parts of the population are favored over others.
Arithmetic Sequence
A sequence whose successive terms differ by the same nonzero number d, called the common difference
Finite Sequence
A sequence with a last term
Empty Set
A set with no elements
Exponential Regression
A statistical method used to fit an exponential model to a given data set.
Independent System
A system of equations that has exactly one solution.
Dependent System
A system of equations that has infinitely many solutions.
Elimination
Act of removal of materials from the body
Complement of an Event
All possible outcomes that are not in the event
Angle of Rotation
An angle formed by a rotating ray, called the terminal side, and a stationary reference ray, called the initial side.
Extraneous Solution
An apparent solution that must be rejected because it does not satisfy the original equation.
Exponential Equation
An equation that contains one or more exponential expressions.
Compound Event
An event made up of two or more simple events.
Coefficient Matrix
An organization of numbers or variables in columns and rows
Common Ratio
Another name for the multiplier or generator of a geometric sequence
Conic Section
Any figure that can be obtained by slicing a double cone
Categorical Data
Data that consists of names, labels, or other nonnumerical values
End Behavior
Describes what happens to the value of f(x) as x increases or decreases without bound.
First Differences
Differences between consecutive y-values in tables of values with evenly spaced x-values.
Exponential Growth
Growth pattern in which the individuals in a population reproduce at a constant rate
Combination
Mixture
Composition of Function
One (or more) functions substituted into another function.
Growth Rate
Rate of increase or decrease of a population
Gaussian Elimination
Row-reduce until you get an x = number and substitute until you get an actual number.
Average Rate of Change
Slope of secant line between two points, use to estimate instantanous rate of change at a point.
Absolute value of a complex number
The absolute value of a+bi is the distance from the origin to the point of (a,b) in the complex plane and is denoted.
absolute value of real number
The absolute value of x is the distance from zero to x on a number line, denoted |x|
Amplitude
The amplitude of a Periodic Function is half the difference of the maximum and minimum values (always positive)
Angle of Elevation
The angle formed by a horizontal line and a line of sight to a point below
Angle of Depression
The angle formed by horizontal line and a line of sight to a point below
Distribution
The arrangement of something across Earth's surface.
end behavior
The behavior of the graph as x approaches positive infinity or negative infinity.
Factor Theorem
The binomial x-r is a factor of the polynomial P(x) if and only if P(r)=0
Common Difference
The difference between consecutive terms of an arithmetic sequence or the generator of the sequence.
Decreasing
The graph of a function goes down on a portion of its domain when viewed from left to right.
Degree of a Polynomial
The greatest degree of any term in the polynomial
Expected Value
The mean of a probability distribution.
Dependent Events
The outcome of one event does affect the outcome of the second event
Binomial Probability
The probability of getting one of two outcomes (like heads or tails)
Cumulative Probability
The probability that a random variable takes on a value less than or equal to stated value.
Geometric Series
The sum of n terms of a geometric sequence
Degree of a Monomial
The sum of the exponents of the variables in the monomial.
Contradiction
a combination of statements, ideas, or features of a situation that are opposed to one another.
Correlation
a mutual relationship or connection between two or more things
Complex Number
a number of the form a+bi where a and b are real numbers and i is the square root of -1
Difference of Two Squares
a polynomial that can be factored as the product of the sum and difference of two terms
Discontinuous
a process in which new ways of understanding and responding to the world emerge at specific times
Geometric Sequence
a sequence in which each term is found by multiplying the previous term by the same number
Arithmetic Series
a series whose terms form an arithmetic sequence
Correlation Coefficient
a statistical index of the relationship between two things (from -1 to +1)
Discriminant
b^2-4ac
interval
distance between two pitches
Cubic Function
f(x)=x^3
Imaginary Unit
i, or the principal square root of -1
Compound Interest
interest calculated on both the principal and the accrued interest
Hypothesis Testing
make and test an educated guess about a problem/solution
Growth Factor
one of a group of external regulatory proteins that stimulate the growth and division of cells
Decay Rate
rate at which atoms of the parent decay to form atoms of their stable daughter product.
Geometric Mean
the mean of n numbers expressed as the n-th root of their product
Increasing
the portion of the graph that is going up
Conditional Probability
the probability of an event ( A ), given that another ( B ) has already occurred.
Factorial
the product of the natural numbers less than or equal to the number
Imaginary Number
the square root of a negative number
Finite Geometric Series
the sum of the first "n" terms of a geometric sequence
Closure
the tendency to complete figures that are incomplete
Cotangent
x/y
Exponential Decay
y=a(1-r)^t
Directrix
y=k-p
Heron's Formula
√s(s-a)(s-b)(s-c)