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Compound Inequality

a pair of inequalities combind by the words and or or

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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

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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

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literal equation

an equation that contains two or more variables

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slope-intercept form

a linear equation in the form y=mx+b

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standard form of a line

the standard form of a linear equation is Ax+By=C

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x-intercept

the x-coordinate of the point where the graph of a line crosses the y-axis

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y-intercept

the y-coordinate of the point where the graph of a line crosses the y-axis

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dependent variable

the output of a function

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independent variable

the input of a function

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domain

the set of possible values for the first coordinate of a function

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range

the set of possible values for the second coordinate of a function

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rational numbers

a number that can be expressed as the quotient of two integers, where the denominator is not equal to zero

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irrational numbers

a number whose decimal part does not terminate or repeat

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relation

any set of ordered pairs

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function

a relation in which, for each first coordinate, there is exactly one corresponding second coordinate

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vertical-line test

if a vertical line crosses the graph of a relation in more than on point, the relation is not a function

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consistent system

a system of equations or inequalities that has at least one solution

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inconsistent system

a system of equations or inequalities that has no solution

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system of equations

a set of equations in the same variables

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Imaginary Unit

the unit in the imaginary number system, √-1

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Discriminant

b^2-4ac, of ax^2+bx+c

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Parabola

the graph of a quadratic function

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Quadratic Formula

gives solutions to the quadratic equation ax^2+bx+c

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Rationalizing the denominator

the process of removing an imaginary number from the denominator of a quotient

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Standard Form

a quadratic equation is Ax+By=C

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Vertex Form

a(x-h)^2+k, when the coordinates of the vertex are (h,k)

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Vertex of Parabola

Either the lowest point on the graph or the highest point on the graph

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Axis of Symmetry of a Parabola

a line that divides the parabola into two parts that are mirror images of each other

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complex number

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

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asymptote

a line that a curve approaches (but does not reach) as its x- or y-values become very large or very small

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common logarithm

a logarithm whose base is 10

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Continuous Compound Interest Formula

A=Pe^rt

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Exponential Expression

an algebraic expression in which the exponent is a variable and the base is a fixed number

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Natural Logarithm

the function y=log (subl)x, the inverse of the natural exponential function

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binomial

a polynomial with exactly two terms

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coefficient

the numerical factor of a monomial

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constant

a monomial with no variables

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end behavior

what happens to a polynomial function as its domain values get very small and very large

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leading coefficient

the coefficient of the term with the highest degree

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local maximum or minimum

the highest or lowest point of a graph of a function

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monomial

a numeral, variable, or product of a numeral and one or more variables

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multiplicity

the number of times that a factor is repeated in the factorization of a polynomial expression

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polynomial

a monomial or a sum of terms that are monomials

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roots

solutions to an equation

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standard form

of a linear equation is Ax+By=C where A and B both are not 0

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trinomial

a polynomial with 3 terms

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turning points

the points on the graph of a polynomial function that correspond to local maxima and minima

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extraneous solution

a solution to a derived equation that is not a solution to the original equation

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holes in the graph

if the factor x-b is a factor of both the numerator and denominator of a rational function

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asymptote

a line that a curve approaches but does not reach as its x or y values become very large or very small

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amplitude

one-half the difference between the max. and min. function values, always postivie

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coterminal angle

describes angles that have the same terminal side when in standard position

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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

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period

the smallest positive number p that satisfies the equation in the definition of a periodic function

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law of sines

sinA/a=sinB/b=sinC/c

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law of cosines

a^2=b^2=c^2-2bccosA, etc.

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