# Algebra 2 Chapter 1 (Holt McDougal)

element

each value in a matrix

empty set

a set with no elements

finite set

a set with a definite number of elements

infinite set

a set with an unlimited number of elements

interval notation

a way of writing the set of all real numbers between two endpoints. The symbols [ and ] are used to include an endpoint in an interval, and the symbols ( and ) are used to exclude an endpoint from an interval.

roster notation

a way of representing a set by listing the elements between braces, {}.

set

a collection of items called elements

set-bulider notation

a notation for a set that uses a rule to describe the properties of the elements of the set.

subset

a set that is contained entirely within another set.

terms having the same radicand and index

principal root

the positive square of a number, indicated by the radicand sign.

the symbol square root used to denote a root.

the number or expression under a radical sign.

rationalizing the denominator

a method of rewriting a fraction my multiplying by another fraction that is equvalent to 1 in order to remove radical terms from the denominator.

scientific notation

a method of writing very large or very small numbers, by using powers of 10 in the form m x 10^n, where 1 is less than or equal to m, which is less than 10 and n is an interger.

domain

the set of input vaules of a function or relation.

range

the set of output values of a function or relation.

function

a type of relation that pairs each element in the domain with exactly one element in the range.

relation

a set of ordered pairs.

independent variable

the input of a function; a variable whose value determine the value of the output

dependent variable

the output of a function; a variable whose value depends on the value of the input

function notation

if x is the independent variable and y is the dependent variable, than the funtion notation for y id f(x).

compression

a transformation that pushes the points of a graph horizonatally toward the y-axis or vertically toward the x-axis.

reflection

a transformation across a line that reflects. it is the perpendicular bisector of each segment joining a point and its image

stretch

a transformation that pulls the points of a graph horizontally away from the y-axis or vertically away from the x-axis.

transformation

a change in the position, size, or shape of a figure

translation

a transformation in which all the points of a figure move the same distance in the same direction

parent function

the most basic function of a family of functions, pr the original function before a transformation is applied.