# Study sets matching "functions 2"

Study sets

Diagrams

Classes

Users

function

relation

graph of the function

input

a relation in which for every input there is exactly one outpu…

any set of ordered pairs (x, y)

The set of all points x, y that forms a graph in the xy-plane.

the first coordinate of an ordered pair in a relation (x,y)

function

a relation in which for every input there is exactly one outpu…

relation

any set of ordered pairs (x, y)

Relation

Function f(x)

Domain

Range

a set of ordered pairs: { (1,4), ( 1,5), (4,5), (3,2)}

A relation for which each element of the domain corresponds to…

The set of inputs or x-values

The set of outputs or y-values

Relation

a set of ordered pairs: { (1,4), ( 1,5), (4,5), (3,2)}

Function f(x)

A relation for which each element of the domain corresponds to…

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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)

Remainder Theorem

Binomial

Long Division

Divisor

When a polynomial function P(x) is divided by x - b, the remai…

An algebraic expression of the sum or the difference of two te…

Division in which the divisor has two or more figures, and a s…

A number or expression that is dividing into another number or…

Remainder Theorem

When a polynomial function P(x) is divided by x - b, the remai…

Binomial

An algebraic expression of the sum or the difference of two te…

Graph of an Exponential Function

Growth Factor

Initial Amount

Rate

y=starting value(growth factor)^x

In the exponential growth function is the (1+r) part

In the exponential function, it is the coefficient or the "a"…

In the exponential function, it is the "r" part

Graph of an Exponential Function

y=starting value(growth factor)^x

Growth Factor

In the exponential growth function is the (1+r) part

Relation

Function f(x)

Domain

Range

a set of ordered pairs: { (1,4), ( 1,5), (4,5), (3,2)}

A relation for which each element of the domain corresponds to…

The set of inputs or x-values

The set of outputs or y-values

Relation

a set of ordered pairs: { (1,4), ( 1,5), (4,5), (3,2)}

Function f(x)

A relation for which each element of the domain corresponds to…

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.

linear equation

slope

Types of Slope

y-intercept

An equation in two variables whose graph in a coordinate plane…

A ratio comparing the change in output over the change in inpu…

Algebraically, the value of the output when the input is zero…

linear equation

An equation in two variables whose graph in a coordinate plane…

slope

A ratio comparing the change in output over the change in inpu…

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

Completing the Square

Degree of a Polynomial

Standard Form of a Polynomial

Leading Coefficient of a Polynomial

A method used for factoring quadratics by isolating the variab…

The greatest degree (exponent) of any of the terms

This shows any like terms combined and the terms by degree in…

The non-zero factor that is multiplied by the greatest power o…

Completing the Square

A method used for factoring quadratics by isolating the variab…

Degree of a Polynomial

The greatest degree (exponent) of any of the terms

Relation

Function f(x)

Domain

Range

a set of ordered pairs: { (1,4), ( 1,5), (4,5), (3,2)}

A relation for which each element of the domain corresponds to…

The set of inputs or x-values

The set of outputs or y-values

Relation

a set of ordered pairs: { (1,4), ( 1,5), (4,5), (3,2)}

Function f(x)

A relation for which each element of the domain corresponds to…

linear equation in two variables

nonlinear function

solution of a linear equation in two va…

discrete domain

An equation that can be written in the form y = mx + b, where…

A function that does not have a constant rate of change and wh…

An ordered pair (x,y) that makes an equation true.... A solution…

A set of all possible inputs values of a function. ... For the or…

linear equation in two variables

An equation that can be written in the form y = mx + b, where…

nonlinear function

A function that does not have a constant rate of change and wh…

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Linear

Absolute Value

Quadratic

Cubic

F(x)= x... D: all reals... R: all reals... X-int.: (0,0)... Y-int.: (0,0)

F(x)= |x|... D: all reals... R: y >/= 0... X-int.: (0,0)... Y-int.: (0,0)

F(x)=x^2... D: all reals... R: y >/= 0... X-int.: (0,0)... Y-int.: (0,0)

F(x)= x^3... D: all reals... R: all reals... X-int.: (0,0)... Y-int.: (0,0)

Linear

F(x)= x... D: all reals... R: all reals... X-int.: (0,0)... Y-int.: (0,0)

Absolute Value

F(x)= |x|... D: all reals... R: y >/= 0... X-int.: (0,0)... Y-int.: (0,0)

function

domain of a function

range of a function

one-to-one function

A relationship from one set (called the domain) to another set…

the set of possible values for the independent variable (input…

the set of all possible values for the dependent variable (out…

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

function

A relationship from one set (called the domain) to another set…

domain of a function

the set of possible values for the independent variable (input…