57 terms

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.