Advanced Algebra Chapter 1
Terms
undefined, object
copy deck
- range
- set of output values of a funciton or relation
- set
- a collection of items called elements
- compression
- a transformation that pushes the points of a graph horizontally toward the y-axis of vertically toward the x-axis
- domain
- the set of all possible input values of a relation or function
- subset
- set that is contained entirely with another set
- 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 endpoint from an interval
- translation
- a transformation that shifts or slides every point of a figure or graph the same distance in the same direction
- parent function
- the simplest funciton with the defining characteristics of the family. Functions in the same family are transformations of their function
- dependent variable
- the output of a function; a variable whose value depends on the value of the input
- principal root
- the postive root of a number, indicated by the radical sign
- stretch
- transformation that pulls the points of a graphy horizontally away from the y-axis or vertically away from x-axis
- scientific notation
- method of writing very large or small numbers, by using powers of 10
- independent variable
- the input of a function; a variable whose value determines the value of the output
- infinite set
- a set with an unlimited number of elements
- radical symbol
- the square root symbol used to denote a root. the symbol is used alone to indicate a square root or with an index to indicate the nth root
- transformation
- a change in position, size, or shape of a figure or graph
- radicand
- the expression under a radical sign
- function notation
- if x is the independent variable and y is the dependent variable, then the function notation for y is f(x), read "f of x" where f names the function
- like radical terms
- radical terms having the same radicand and index
- element
- an item in a set
- empty set
- a set with no elements
- roster notation
- way of representing a set by listing the elements between braces
- finite set
- a set with a definite number of elements
- set-builder notation
- notation for a set that used a rule to describe properties of the elements of the set
- rationalizing the denominator
- method of rewriting a fraction by multiplying by another fraction that is equivalent to 1 in order to remove radical terms from the denominator
- function
- a relation in which every input is paired with exactly one output
- reflection
- transformation that flips a graph or figure across the line of reflection, such that each point is sam distance from line but is on opposite side