#### Study sets matching "algebra functions chapter 2"

#### 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 exa…

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

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 exa…

onto function

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

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…

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…

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 congru…

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

(p. 242)

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

axis of symmetry

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

complex number

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

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…

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

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…

axis of symmetry

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

Relative Maximum

Relative Minimum

Turning Points

Polynomial Function

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

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

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 certa…

Relative Minimum

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

COMPRESS

DILATION

DOMAIN

EVEN FUNCTION

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

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 grap…

DILATION

A transformation which vertically compresses or stretches the…

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 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

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 ver…

What are the furthest points from left to right?

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

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

Range

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

Domain

What are the furthest points from left to right?

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

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 fun…

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 fun…

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 endp…

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

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 outpu…

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)

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 halv…

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

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 halv…

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 rat…

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 rat…

coordinate plane

function

input

ordered pair

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

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

the value substituted into an expression or function

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

coordinate plane

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

function

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

Consecutive Integers

Dimensional Analysis

Equivalent Equations

Extremes

Integers in counting order

The process of carrying units throughout a computation

Equations that have the same solution

The outer terms of the proportion

Consecutive Integers

Integers in counting order

Dimensional Analysis

The process of carrying units throughout a computation

absolute value function

boundary

constant function

dependent variable

a function where f(x) ≥ 0 for all values of x

a line or curve that separates the coordinate plane into two…

a linear function of the from f(x) = b

the variable whose values depend on the values of the indepen…

absolute value function

a function where f(x) ≥ 0 for all values of x

boundary

a line or curve that separates the coordinate plane into two…

domain

function

graph

input value

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

A relation in which for each input value there is one and onl…

A graph represents numerical information spatially. The numbe…

The input value is the independent variable in a relation. We…

domain

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

function

A relation in which for each input value there is one and onl…

inverse variation

direct variation

direct variation formula

domain

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

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

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 w…

direct variation

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

Absolute Value

Constant

Cube Root

Cubic

f(x) = I x I... Domain: (-∞,∞)... Range: [0,∞)... Zeros: (0,0)... y-inter…

f(x) = c... Domain: (-∞,∞)... Range: [c]... Zeros: none... y-intercept: (…

f(x) = ^3√x... Domain: (-∞,∞)... Range: (-∞,∞)... Zeros: (0,0)... y-inter…

f(x) = x^3... Domain: (-∞,∞)... Range: (-∞,∞)... Zeros: (0,0)... y-interc…

Absolute Value

f(x) = I x I... Domain: (-∞,∞)... Range: [0,∞)... Zeros: (0,0)... y-inter…

Constant

f(x) = c... Domain: (-∞,∞)... Range: [c]... Zeros: none... y-intercept: (…

Equivalent equations

Addition property of equality

Subtraction property of equality

Isolate

Equations that have the same solution.

Adding the same number to each side of an equation produces a…

Subtracting the same number from each side of an equation pro…

Using properties of equality and inverse operations to get a…

Equivalent equations

Equations that have the same solution.

Addition property of equality

Adding the same number to each side of an equation produces a…

x = 12/5

x = 2.1

x = -10

x = 38.1

The sum of five times a number x and three is the same as fif…

Solve for x. ... 3.8 = x+1.7

Solve for x. ... 2/5x = -4

Solve for x... x/3 - 9.2 = 3.5

x = 12/5

The sum of five times a number x and three is the same as fif…

x = 2.1

Solve for x. ... 3.8 = x+1.7

conversion factor

cross products

equivalent equations

inverse operations

a ratio of two equivalent measures in different units

the product of the diagonal when comparing two ratios

equations that have the same solution

operations that undo each other

conversion factor

a ratio of two equivalent measures in different units

cross products

the product of the diagonal when comparing two ratios

Formula

Equivalent Equations

Equation

Addition Property of Equality

A rule for the relationship between certain quantities.

Have the same solution.

A mathematical sentence that contains an equal sign.

For any real numbers a, b, and c, if a=b, then a+c=b+c

Formula

A rule for the relationship between certain quantities.

Equivalent Equations

Have the same solution.

Function

Domain

Range

Parent Function

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

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 ou…

Domain

The set of input values in a relation.

linear regression

line of best fit

linear regression equation

significant digit

models the relationship between two variables in a data set b…

the line that best approximates the linear relationship betwe…

the equation that describes the line of best fit

digits that carry meaning contributing to a number's precision

linear regression

models the relationship between two variables in a data set b…

line of best fit

the line that best approximates the linear relationship betwe…

Order of Operation ( PEMDAS )

Variable

Terms

Coefficient

Rule that tells you what to do first

a letter that represents a number

parts of an expression separated by a+ or - sign

a number that multiples a variable

Order of Operation ( PEMDAS )

Rule that tells you what to do first

Variable

a letter that represents a number

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

1 step Equation

2 step Equation

Multi - Step Equation

Identity

get the variable by itself by undoing the problem... - addition…

get the variable by itself by undoing the problem, reverse th…

get the variable by itself by undoing the problem, reverse th…

both sides of equal sign are same

1 step Equation

get the variable by itself by undoing the problem... - addition…

2 step Equation

get the variable by itself by undoing the problem, reverse th…

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 halv…

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

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 halv…

asymptote

dependent variable

domain

equation

A line that a graph of a curve approaches but does not touch…

Appears as the output value in an x → y table, and is usually…

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

A mathematical sentence in which two expressions appear on ei…

asymptote

A line that a graph of a curve approaches but does not touch…

dependent variable

Appears as the output value in an x → y table, and is usually…

Asymptote

Rational Function

Hole (on a graph)

Continuity

A line that a graph approaches but does not reach. It may be…

A function whose rule is given by a fraction whose numerator…

A hole in a graph - it is a discontinuity that can be "repair…

A connected graph or a constant set of numbers (without skipp…

Asymptote

A line that a graph approaches but does not reach. It may be…

Rational Function

A function whose rule is given by a fraction whose numerator…

Rate of change

Slope

Direct variation

Constant of variation for a direct var…

The relationship between two quantities that are changing. Th…

The ratio of the vertical change to the horizontal change.... sl…

A linear function defined by an equation of the form... y = kx,…

The nonzero constant k in the function y = kx.

Rate of change

The relationship between two quantities that are changing. Th…

Slope

The ratio of the vertical change to the horizontal change.... sl…

Order of Operations

Variable

Terms

Constants

Rules that tell you which operations to do first

A letter that represents a number

Parts of an expression separated by a + or - sign

Numbers, or quantities, that do not change

Order of Operations

Rules that tell you which operations to do first

Variable

A letter that represents a number

Dimensional analysis

Equivalent equations

Extremes

Formula

The process of carrying units throughout a computation.

Equations that have the same solution.

In the ratio a/b = c/d , a and d are the extremes.

An equation that states a rule for the relationship between c…

Dimensional analysis

The process of carrying units throughout a computation.

Equivalent equations

Equations that have the same solution.

relation

domain

range

mapping diagram

a set of pairs of input and output values

the set of all inputs, or x-coordinates of the ordered pairs

the set of all outputs, or y-coordinates of the ordered pairs

a way to show a relation by linking elements of the domain wi…

relation

a set of pairs of input and output values

domain

the set of all inputs, or x-coordinates of the ordered pairs

Order of Operations

variable

terms

constants

rules that tell which operation to do first

a letter that represents a number

parts of an expression separated by a + or a - sign

numbers, or qualities, that do not change

Order of Operations

rules that tell which operation to do first

variable

a letter that represents a number

Consecutive Integers

Dimensional Analysis

Equivalent Equations

Extremes

integers in counting order, such as 4, 5, 6 or n, n+1, and n+2.

changing from one unit to another via conversion factors... aka…

equations that have the same solution

In a proportion, the numerator of the first fraction and the…

Consecutive Integers

integers in counting order, such as 4, 5, 6 or n, n+1, and n+2.

Dimensional Analysis

changing from one unit to another via conversion factors... aka…

(ƒ + g) (x)

(ƒ - g)(x)

(ƒ · g)(x)

ƒ(x)/g(x)

ƒ(x)+ƒ(g); The sum of two functions. ... Substitute the value fo…

ƒ(x)-ƒ(g); The difference of two functions. ... Substitute the v…

ƒ(x) · ƒ(g); The product of two functions. ... Substitute the va…

ƒ(x)/ƒ(g); The quotient of two functions, where g(x) ≠ 0. ... Su…

(ƒ + g) (x)

ƒ(x)+ƒ(g); The sum of two functions. ... Substitute the value fo…

(ƒ - g)(x)

ƒ(x)-ƒ(g); The difference of two functions. ... Substitute the v…

Order of Operations

variable

terms

constants

rules that tell you which operations to do first

a letter that represents a number

parts of an expression separated by a + or - sign

numbers, or quantities, that do not change

Order of Operations

rules that tell you which operations to do first

variable

a letter that represents a number

absolute value function

boundary

dependent variable

domain

y = a|x-h|+k

a line or curve that separates the coordinate plane into two…

the variable whose values depend on the values of the indepen…

the set of all x-coordinates of the ordered pairs of a relation

absolute value function

y = a|x-h|+k

boundary

a line or curve that separates the coordinate plane into two…