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Advanced Algebra Chapter 1

Terms

undefined, object
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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

Deck Info

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