# Study sets matching "algebra functions chapter 2"

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absolute value function

axis of symmetry

constant of variation

correlation

f(x) = |x| is the parent absolute value function.

A vertical line about which a graph is symmetric.

The constant of variation is represented by k, the ratio of al…

The correlation measures the strength of the relationship betw…

absolute value function

f(x) = |x| is the parent absolute value function.

axis of symmetry

A vertical line about which a graph is symmetric.

ordered pair

Cartesian coordinate

plane

quadrant

A pair of numbers used to locate a point on a coordinate plane…

is composed of the x-axis (horizontal) and the y-axis (vertica…

A two-dimensional flat surface that extends in all directions

one of four sections into which the coordinate plane is divided

ordered pair

A pair of numbers used to locate a point on a coordinate plane…

Cartesian coordinate

is composed of the x-axis (horizontal) and the y-axis (vertica…

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…

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…

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…

Function

Domain

Range

Parent Function

A relation in which every input corresponds to exactly one out…

The set of input values in a relation.

The set of output values in a relation.

The simplest function in a family of functions.

Function

A relation in which every input corresponds to exactly one out…

Domain

The set of input values in a relation.

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?

constant of variation

correlation

correlation coefficient

direct variation

The constant of variation is represented by k, the ratio of al…

The correlation measures the strength of the relationship betw…

The correlation coefficient, r, from linear regression, indica…

The formula for direct variation is y = kx, where k does not e…

constant of variation

The constant of variation is represented by k, the ratio of al…

correlation

The correlation measures the strength of the relationship betw…

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

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…

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…

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…

Solution of an Inequality

Solution Set

Equivalent Inequalities

Graph of an Inequality

A value that makes an inequality true.

The set of all solutions of an inequality.

Inequalities that have the same solutions.

A graph that shows the solution set of an inequality on a numb…

Solution of an Inequality

A value that makes an inequality true.

Solution Set

The set of all solutions of an inequality.

terms

factors

additive inverses

difference

A number, variable, or the product of numbers and variables.

Numbers that are multiplied together to produce a product.

A number and its opposite.

terms

A number, variable, or the product of numbers and variables.

factors

Numbers that are multiplied together to produce a product.

Formula

Algebra Tiles

Solve an Equation

Equivalent Equations

Rule for the relationship between two certain quantities

Model for solving equations

Find the value of the variable that makes the equation true

Equations that have the same solution

Formula

Rule for the relationship between two certain quantities

Algebra Tiles

Model for solving equations