# Study sets matching "algebra functions chapter 2"

one-to-one function

onto function

discrete relation

continuous relation

A function where each element of the range is paired with exac…

Each element of the range corresponds to an element of the dom…

A relation in which the domain is a set of individual points.

A relation that can be graphed with a line or smooth curve.

one-to-one function

A function where each element of the range is paired with exac…

onto function

Each element of the range corresponds to an element of the dom…

Ways a Relation Can be Represented

Vertical Line Test

Graphing Equations in Two Variables

Discrete and Continuous Functions

Ordered Pairs... Table... Graph ... Mapping Diagram

A relation is a function iff no vertical line intersects the g…

1. Construct a table of values... 2. Plot enough points from the…

Discrete func.- consists of separate points ... Continuous func.-…

Ways a Relation Can be Represented

Ordered Pairs... Table... Graph ... Mapping Diagram

Vertical Line Test

A relation is a function iff no vertical line intersects the g…

Domain

Range

Relations

Functions

the first values in an ordered pair

the second values in an ordered pair

sets of ordered pairs

each element in the domain is paired with exactly one element…

Domain

the first values in an ordered pair

Range

the second values in an ordered pair

axis of symmetry

complex number

discriminant

greatest common factor

a line that divides a plane figure or a graph into two congrue…

any numbers with "i" in them. (p. 249)

(p. 242)

(GCF) the largest factor that two or more numbers have in comm…

axis of symmetry

a line that divides a plane figure or a graph into two congrue…

complex number

any numbers with "i" in them. (p. 249)

Relative Maximum

Relative Minimum

Turning Points

Polynomial Function

The highest point of a graph within the boundaries of a certai…

The lowest point of a graph within the boundaries of a certain…

The relative maxima and relative minima of a function.

A function that can be written... in the form f(x) = a n x n + a…

Relative Maximum

The highest point of a graph within the boundaries of a certai…

Relative Minimum

The lowest point of a graph within the boundaries of a certain…

inverse variation

direct variation

direct variation formula

domain

this is when two variables change in an opposite manner, so wh…

this is when a variable, for example y, varies directly with a…

y=kx

this is the set of x coordinates. it is presented like this: {…

inverse variation

this is when two variables change in an opposite manner, so wh…

direct variation

this is when a variable, for example y, varies directly with a…

absolute value of a complex number

axis of symmetry

binomial

completing the square

the absolute value of a + bi is the distance from the... origin t…

a line that divides a plane figure or a graph into two congrue…

a polynomial with two terms

adding a term to form a perfect square trinomial

absolute value of a complex number

the absolute value of a + bi is the distance from the... origin t…

axis of symmetry

a line that divides a plane figure or a graph into two congrue…

Range

Domain

What are the zeros of a function?

How do you find the zeros of a function?

What is the highest and lowest points that the graph hits vert…

What are the furthest points from left to right?

The x-values for which ƒ(x)=0... [i.e.] x-values that make the fu…

set the function equal to zero and solve for the independent v…

Range

What is the highest and lowest points that the graph hits vert…

Domain

What are the furthest points from left to right?

Relation

Domain

Range

Function

A mapping, or pairing, of input values with output values

The set up input values in a relation

The set of output values in a relation

A relation for which each input has one output

Relation

A mapping, or pairing, of input values with output values

Domain

The set up input values in a relation

Relation

Ways to show a relation

Domain

range

a set of input and output values

Ordered Pair, Table, Mapping Diagram, Graph

set of input values, or x

set of output values, or y

Relation

a set of input and output values

Ways to show a relation

Ordered Pair, Table, Mapping Diagram, Graph

equation

solution set of an equation

linear equation in one variable

Addition

A mathematical sentence that contains an equals sign.

Value or values of the variable that make an equation true.

Can be written in the form of ax=b.

An operation in which we combine two numbers to make a larger…

equation

A mathematical sentence that contains an equals sign.

solution set of an equation

Value or values of the variable that make an equation true.

Relation

Domain

Range

Function

A mapping, or pairing, of input values with output values

The set of input values in a relation

The set of output values in a relation

A relation for which each input has exactly one output

Relation

A mapping, or pairing, of input values with output values

Domain

The set of input values in a relation

coordinate plane

function

input

ordered pair

a plane formed by the intersection of a horizontal number line…

an input-output relationship that has exactly one output for e…

the value substituted into an expression or function

a pair of numbers that can be used to locate a point on a coor…

coordinate plane

a plane formed by the intersection of a horizontal number line…

function

an input-output relationship that has exactly one output for e…

Domain of a Function

Range of a Function

Interval Notation

Set Notation

The set of all possible input values for the function

The set of all possible output values of a function

a way of writing the set of all real numbers between two endpo…

A notation for a set that uses a rule to describe the properti…

Domain of a Function

The set of all possible input values for the function

Range of a Function

The set of all possible output values of a function

correlation

direct variation

domain

function

a measure of the relationship between two variables. (p. 92)

an equation of the form y=kx, where k does not equal 0. (p. 68)

the input set of a function. (p. 61)

an equation that, when given an input, gives a specific output…

correlation

a measure of the relationship between two variables. (p. 92)

direct variation

an equation of the form y=kx, where k does not equal 0. (p. 68)

input

output

mapping

relation

The values of the independent variable (x) in a function.

The values of the dependent variable (aka y or f(x)) in a func…

A visual representation of a relation in which the inputs are…

Information that can be represented by a set of ordered pairs…

input

The values of the independent variable (x) in a function.

output

The values of the dependent variable (aka y or f(x)) in a func…

COMPRESS

DILATION

DOMAIN

EVEN FUNCTION

A term used informally to describe the relationship of a graph…

A transformation which vertically compresses or stretches the…

The set of all input values for a relation or function.

A function where f(−x) = f(x) for all values of x defined for…

COMPRESS

A term used informally to describe the relationship of a graph…

DILATION

A transformation which vertically compresses or stretches the…

conversion factor

cross products

formula

inverse operations

a ratio of equivalent measurements used to convert a quantity…

the product of numbers on the diagonal when comparing two rati…

a mathematical relationship or rule expressed in symbols. [p.…

two of the order of operations that undo each other. [p. 88]

conversion factor

a ratio of equivalent measurements used to convert a quantity…

cross products

the product of numbers on the diagonal when comparing two rati…

absolute value function

axis of symmetry

direct variation

domain

a V-shaped function written in the form of

**y = |x|**.a line that divides a graph into two congruent reflected halve…

a linear function defined by an equation of the form y=kx, whe…

all possible x-coordinate values.

absolute value function

a V-shaped function written in the form of

**y = |x|**.axis of symmetry

a line that divides a graph into two congruent reflected halve…

relation

domain

range

function

a set or collection of points

the set of all inputs in a relation

the set of all outputs in a relation

a relation in whom each input has a unique output

relation

a set or collection of points

domain

the set of all inputs in a relation