Finals Vocab Flashcards
Arithmetic sequence
A sequence in which the difference of consecutive terms is constant
Asymptote
A line that a graph approaches more and more closely
Change of base formula
logba=logda/logdb
Circle
a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).
combined variation
y=(kx)/z
common difference
the constant distance d between consecutive terms of n arithmetic sequence
common logarithm
a logarithm with a base 10, between consecutive terms of an arithmetic sequence.
common ratio
the constant r between consecutive terms of a geometric sequence
completing the square
To add a term c to an expression of the form x²+bx+c is a perfect square
complex conjugates
pairs of complex numbers of the forms a+bi and a-bi, where b does not equal 0
complex fraction
a fraction that contains a fraction a fraction in its numerator or denominator
complex number
a number written in the form a+bi, where a and b are real numbers
composition of a function
an operation that can be performed with two functions
compound inequality
a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements.
conic section
a curve obtained as the intersection of the surface of a cone with a plane
consistent
an equation that has at least one set of values for the unknowns that satisfies each equation in the system
constant of variation
the constant a in the inverse variation equation y=a/x, where a does not equal 0
continuous relation
A set of data is where the values belonging to the set can take on ANY value within a finite or infinite interval
correlation coefficient
a number r from -1 to 1 that measures how well a line fits a set of data pairs
dependant
The dependent variable is the one that depends on the value of some other number
dimensions of a matrix
the number of rows by the number of columns
direct variation
a simple relationship between two variables
discriminant
a quantity that depends on the coefficients and determines various properties of the roots
ellipse
a plane curve surrounding two focal points
end behavior
describes the behavior of the graph of the function at the “ends” of the x-axis
exponential equation
a function of the form f(x)=ab^{x}, where b is a positive real number, and the argument x occurs as an exponent
extraneous solution
a solution that emerges from the process of solving the problem but is not a valid solution to the problem
extrema
collectively known as the maxima and minima of a function
factor theorem
a theorem linking factors and zeros of a polynomial
finite sequence
a list of terms in a specific order