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57 terms

Honors Alg2 Final Vocab

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Compound Inequality
a pair of inequalities combind by the words and or or
Correlation Coefficient
A number represented by the variable r, between -1 and 1, that describes how closely points in a scatter plot cluster around the least-squares line
direct variation
the equation y=kx describes a direct variation, where y varies directly as x, k is constant of variation, and k doesn't equal 0
literal equation
an equation that contains two or more variables
slope-intercept form
a linear equation in the form y=mx+b
standard form of a line
the standard form of a linear equation is Ax+By=C
x-intercept
the x-coordinate of the point where the graph of a line crosses the y-axis
y-intercept
the y-coordinate of the point where the graph of a line crosses the y-axis
dependent variable
the output of a function
independent variable
the input of a function
domain
the set of possible values for the first coordinate of a function
range
the set of possible values for the second coordinate of a function
rational numbers
a number that can be expressed as the quotient of two integers, where the denominator is not equal to zero
irrational numbers
a number whose decimal part does not terminate or repeat
relation
any set of ordered pairs
function
a relation in which, for each first coordinate, there is exactly one corresponding second coordinate
vertical-line test
if a vertical line crosses the graph of a relation in more than on point, the relation is not a function
consistent system
a system of equations or inequalities that has at least one solution
inconsistent system
a system of equations or inequalities that has no solution
system of equations
a set of equations in the same variables
Imaginary Unit
the unit in the imaginary number system, √-1
Discriminant
b^2-4ac, of ax^2+bx+c
Parabola
the graph of a quadratic function
Quadratic Formula
gives solutions to the quadratic equation ax^2+bx+c
Rationalizing the denominator
the process of removing an imaginary number from the denominator of a quotient
Standard Form
a quadratic equation is Ax+By=C
Vertex Form
a(x-h)^2+k, when the coordinates of the vertex are (h,k)
Vertex of Parabola
Either the lowest point on the graph or the highest point on the graph
Axis of Symmetry of a Parabola
a line that divides the parabola into two parts that are mirror images of each other
complex number
any number that can be written as a+bi , where a and b are real numbers and i=root of -1
asymptote
a line that a curve approaches (but does not reach) as its x- or y-values become very large or very small
common logarithm
a logarithm whose base is 10
Continuous Compound Interest Formula
A=Pe^rt
Exponential Expression
an algebraic expression in which the exponent is a variable and the base is a fixed number
Natural Logarithm
the function y=log (subl)x, the inverse of the natural exponential function
binomial
a polynomial with exactly two terms
coefficient
the numerical factor of a monomial
constant
a monomial with no variables
end behavior
what happens to a polynomial function as its domain values get very small and very large
leading coefficient
the coefficient of the term with the highest degree
local maximum or minimum
the highest or lowest point of a graph of a function
monomial
a numeral, variable, or product of a numeral and one or more variables
multiplicity
the number of times that a factor is repeated in the factorization of a polynomial expression
polynomial
a monomial or a sum of terms that are monomials
roots
solutions to an equation
standard form
of a linear equation is Ax+By=C where A and B both are not 0
trinomial
a polynomial with 3 terms
turning points
the points on the graph of a polynomial function that correspond to local maxima and minima
extraneous solution
a solution to a derived equation that is not a solution to the original equation
holes in the graph
if the factor x-b is a factor of both the numerator and denominator of a rational function
asymptote
a line that a curve approaches but does not reach as its x or y values become very large or very small
amplitude
one-half the difference between the max. and min. function values, always postivie
coterminal angle
describes angles that have the same terminal side when in standard position
reference angle
the positive acute angle formed by the terminal side of the angle and the nearest part (positive or negative) of the x-axis
period
the smallest positive number p that satisfies the equation in the definition of a periodic function
law of sines
sinA/a=sinB/b=sinC/c
law of cosines
a^2=b^2=c^2-2bccosA, etc.